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Simplifying 5 + 4(3 + -2x) = 3 + -3(x + 1) + -3x 5 + (3 * 4 + -2x * 4) = 3 + -3(x + 1) + -3x 5 + (12 + -8x) = 3 + -3(x + 1) + -3x Combine like terms: 5 + 12 = 17 17 + -8x = 3 + -3(x + 1) + -3x Reorder the terms: 17 + -8x = 3 + -3(1 + x) + -3x 17 + -8x = 3 + (1 * -3 + x * -3) + -3x 17 + -8x = 3 + (-3 + -3x) + -3x Combine like terms: 3 + -3 = 0 17 + -8x = 0 + -3x + -3x 17 + -8x = -3x + -3x Combine like terms: -3x + -3x = -6x 17 + -8x = -6x Solving 17 + -8x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 17 + -8x + 6x = -6x + 6x Combine like terms: -8x + 6x = -2x 17 + -2x = -6x + 6x Combine like terms: -6x + 6x = 0 17 + -2x = 0 Add '-17' to each side of the equation. 17 + -17 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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