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Simplifying 17 = 3(x + -4) + 5 Reorder the terms: 17 = 3(-4 + x) + 5 17 = (-4 * 3 + x * 3) + 5 17 = (-12 + 3x) + 5 Reorder the terms: 17 = -12 + 5 + 3x Combine like terms: -12 + 5 = -7 17 = -7 + 3x Solving 17 = -7 + 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 + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -3x = -7 + 0 17 + -3x = -7 Add '-17' to each side of the equation. 17 + -17 + -3x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = -7 + -17 -3x = -7 + -17 Combine like terms: -7 + -17 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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