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Simplifying -4(x + -3) + 8x = 7x + -2 Reorder the terms: -4(-3 + x) + 8x = 7x + -2 (-3 * -4 + x * -4) + 8x = 7x + -2 (12 + -4x) + 8x = 7x + -2 Combine like terms: -4x + 8x = 4x 12 + 4x = 7x + -2 Reorder the terms: 12 + 4x = -2 + 7x Solving 12 + 4x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 4x + -7x = -2 + 7x + -7x Combine like terms: 4x + -7x = -3x 12 + -3x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -3x = -2 + 0 12 + -3x = -2 Add '-12' to each side of the equation. 12 + -12 + -3x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -2 + -12 -3x = -2 + -12 Combine like terms: -2 + -12 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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