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Simplifying 17 + -3x = -4(4x + 3) + -4(-5 + -3x) Reorder the terms: 17 + -3x = -4(3 + 4x) + -4(-5 + -3x) 17 + -3x = (3 * -4 + 4x * -4) + -4(-5 + -3x) 17 + -3x = (-12 + -16x) + -4(-5 + -3x) 17 + -3x = -12 + -16x + (-5 * -4 + -3x * -4) 17 + -3x = -12 + -16x + (20 + 12x) Reorder the terms: 17 + -3x = -12 + 20 + -16x + 12x Combine like terms: -12 + 20 = 8 17 + -3x = 8 + -16x + 12x Combine like terms: -16x + 12x = -4x 17 + -3x = 8 + -4x Solving 17 + -3x = 8 + -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. 17 + -3x + 4x = 8 + -4x + 4x Combine like terms: -3x + 4x = 1x 17 + 1x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 1x = 8 + 0 17 + 1x = 8 Add '-17' to each side of the equation. 17 + -17 + 1x = 8 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 8 + -17 1x = 8 + -17 Combine like terms: 8 + -17 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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