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Simplifying 4(2 + -1x) + 5 = 3(2x + -3) + -8 (2 * 4 + -1x * 4) + 5 = 3(2x + -3) + -8 (8 + -4x) + 5 = 3(2x + -3) + -8 Reorder the terms: 8 + 5 + -4x = 3(2x + -3) + -8 Combine like terms: 8 + 5 = 13 13 + -4x = 3(2x + -3) + -8 Reorder the terms: 13 + -4x = 3(-3 + 2x) + -8 13 + -4x = (-3 * 3 + 2x * 3) + -8 13 + -4x = (-9 + 6x) + -8 Reorder the terms: 13 + -4x = -9 + -8 + 6x Combine like terms: -9 + -8 = -17 13 + -4x = -17 + 6x Solving 13 + -4x = -17 + 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. 13 + -4x + -6x = -17 + 6x + -6x Combine like terms: -4x + -6x = -10x 13 + -10x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -10x = -17 + 0 13 + -10x = -17 Add '-13' to each side of the equation. 13 + -13 + -10x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -17 + -13 -10x = -17 + -13 Combine like terms: -17 + -13 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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