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Simplifying -4(-3x + -7) + -2x = 4(x + -7) + -2 Reorder the terms: -4(-7 + -3x) + -2x = 4(x + -7) + -2 (-7 * -4 + -3x * -4) + -2x = 4(x + -7) + -2 (28 + 12x) + -2x = 4(x + -7) + -2 Combine like terms: 12x + -2x = 10x 28 + 10x = 4(x + -7) + -2 Reorder the terms: 28 + 10x = 4(-7 + x) + -2 28 + 10x = (-7 * 4 + x * 4) + -2 28 + 10x = (-28 + 4x) + -2 Reorder the terms: 28 + 10x = -28 + -2 + 4x Combine like terms: -28 + -2 = -30 28 + 10x = -30 + 4x Solving 28 + 10x = -30 + 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. 28 + 10x + -4x = -30 + 4x + -4x Combine like terms: 10x + -4x = 6x 28 + 6x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + 6x = -30 + 0 28 + 6x = -30 Add '-28' to each side of the equation. 28 + -28 + 6x = -30 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = -30 + -28 6x = -30 + -28 Combine like terms: -30 + -28 = -58 6x = -58 Divide each side by '6'. x = -9.666666667 Simplifying x = -9.666666667
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