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Simplifying 7(4x + -1) + -2(5x + 6) = 2x + -11 Reorder the terms: 7(-1 + 4x) + -2(5x + 6) = 2x + -11 (-1 * 7 + 4x * 7) + -2(5x + 6) = 2x + -11 (-7 + 28x) + -2(5x + 6) = 2x + -11 Reorder the terms: -7 + 28x + -2(6 + 5x) = 2x + -11 -7 + 28x + (6 * -2 + 5x * -2) = 2x + -11 -7 + 28x + (-12 + -10x) = 2x + -11 Reorder the terms: -7 + -12 + 28x + -10x = 2x + -11 Combine like terms: -7 + -12 = -19 -19 + 28x + -10x = 2x + -11 Combine like terms: 28x + -10x = 18x -19 + 18x = 2x + -11 Reorder the terms: -19 + 18x = -11 + 2x Solving -19 + 18x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -19 + 18x + -2x = -11 + 2x + -2x Combine like terms: 18x + -2x = 16x -19 + 16x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 16x = -11 + 0 -19 + 16x = -11 Add '19' to each side of the equation. -19 + 19 + 16x = -11 + 19 Combine like terms: -19 + 19 = 0 0 + 16x = -11 + 19 16x = -11 + 19 Combine like terms: -11 + 19 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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