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Simplifying 5 + -4(x + -3) = x + -2(2x + 6) Reorder the terms: 5 + -4(-3 + x) = x + -2(2x + 6) 5 + (-3 * -4 + x * -4) = x + -2(2x + 6) 5 + (12 + -4x) = x + -2(2x + 6) Combine like terms: 5 + 12 = 17 17 + -4x = x + -2(2x + 6) Reorder the terms: 17 + -4x = x + -2(6 + 2x) 17 + -4x = x + (6 * -2 + 2x * -2) 17 + -4x = x + (-12 + -4x) Reorder the terms: 17 + -4x = -12 + x + -4x Combine like terms: x + -4x = -3x 17 + -4x = -12 + -3x Solving 17 + -4x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 17 + -4x + 3x = -12 + -3x + 3x Combine like terms: -4x + 3x = -1x 17 + -1x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + -1x = -12 + 0 17 + -1x = -12 Add '-17' to each side of the equation. 17 + -17 + -1x = -12 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = -12 + -17 -1x = -12 + -17 Combine like terms: -12 + -17 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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