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Simplifying 5 + -2(x + 3) = 5(x + -1) + 7 Reorder the terms: 5 + -2(3 + x) = 5(x + -1) + 7 5 + (3 * -2 + x * -2) = 5(x + -1) + 7 5 + (-6 + -2x) = 5(x + -1) + 7 Combine like terms: 5 + -6 = -1 -1 + -2x = 5(x + -1) + 7 Reorder the terms: -1 + -2x = 5(-1 + x) + 7 -1 + -2x = (-1 * 5 + x * 5) + 7 -1 + -2x = (-5 + 5x) + 7 Reorder the terms: -1 + -2x = -5 + 7 + 5x Combine like terms: -5 + 7 = 2 -1 + -2x = 2 + 5x Solving -1 + -2x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -2x + -5x = 2 + 5x + -5x Combine like terms: -2x + -5x = -7x -1 + -7x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -7x = 2 + 0 -1 + -7x = 2 Add '1' to each side of the equation. -1 + 1 + -7x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 2 + 1 -7x = 2 + 1 Combine like terms: 2 + 1 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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