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Simplifying -7(-3x + -2) + 3(x + -1) = 3(1 + -1x) + -1x Reorder the terms: -7(-2 + -3x) + 3(x + -1) = 3(1 + -1x) + -1x (-2 * -7 + -3x * -7) + 3(x + -1) = 3(1 + -1x) + -1x (14 + 21x) + 3(x + -1) = 3(1 + -1x) + -1x Reorder the terms: 14 + 21x + 3(-1 + x) = 3(1 + -1x) + -1x 14 + 21x + (-1 * 3 + x * 3) = 3(1 + -1x) + -1x 14 + 21x + (-3 + 3x) = 3(1 + -1x) + -1x Reorder the terms: 14 + -3 + 21x + 3x = 3(1 + -1x) + -1x Combine like terms: 14 + -3 = 11 11 + 21x + 3x = 3(1 + -1x) + -1x Combine like terms: 21x + 3x = 24x 11 + 24x = 3(1 + -1x) + -1x 11 + 24x = (1 * 3 + -1x * 3) + -1x 11 + 24x = (3 + -3x) + -1x Combine like terms: -3x + -1x = -4x 11 + 24x = 3 + -4x Solving 11 + 24x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 11 + 24x + 4x = 3 + -4x + 4x Combine like terms: 24x + 4x = 28x 11 + 28x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 11 + 28x = 3 + 0 11 + 28x = 3 Add '-11' to each side of the equation. 11 + -11 + 28x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 28x = 3 + -11 28x = 3 + -11 Combine like terms: 3 + -11 = -8 28x = -8 Divide each side by '28'. x = -0.2857142857 Simplifying x = -0.2857142857
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