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Simplifying -14 + 3(x + 10) = 7(2x + 4) * 1x Reorder the terms: -14 + 3(10 + x) = 7(2x + 4) * 1x -14 + (10 * 3 + x * 3) = 7(2x + 4) * 1x -14 + (30 + 3x) = 7(2x + 4) * 1x Combine like terms: -14 + 30 = 16 16 + 3x = 7(2x + 4) * 1x Reorder the terms: 16 + 3x = 7(4 + 2x) * 1x Reorder the terms for easier multiplication: 16 + 3x = 7 * 1x(4 + 2x) Multiply 7 * 1 16 + 3x = 7x(4 + 2x) 16 + 3x = (4 * 7x + 2x * 7x) 16 + 3x = (28x + 14x2) Solving 16 + 3x = 28x + 14x2 Solving for variable 'x'. Combine like terms: 3x + -28x = -25x 16 + -25x + -14x2 = 28x + 14x2 + -28x + -14x2 Reorder the terms: 16 + -25x + -14x2 = 28x + -28x + 14x2 + -14x2 Combine like terms: 28x + -28x = 0 16 + -25x + -14x2 = 0 + 14x2 + -14x2 16 + -25x + -14x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 16 + -25x + -14x2 = 0 Factor a trinomial. (1 + -2x)(16 + 7x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(16 + 7x)' equal to zero and attempt to solve: Simplifying 16 + 7x = 0 Solving 16 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 0 + -16 7x = 0 + -16 Combine like terms: 0 + -16 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286Solution
x = {0.5, -2.285714286}
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