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Simplifying 2(x + -1) + 3(4x + 5) = 8x + -4(2 + x) + -9 Reorder the terms: 2(-1 + x) + 3(4x + 5) = 8x + -4(2 + x) + -9 (-1 * 2 + x * 2) + 3(4x + 5) = 8x + -4(2 + x) + -9 (-2 + 2x) + 3(4x + 5) = 8x + -4(2 + x) + -9 Reorder the terms: -2 + 2x + 3(5 + 4x) = 8x + -4(2 + x) + -9 -2 + 2x + (5 * 3 + 4x * 3) = 8x + -4(2 + x) + -9 -2 + 2x + (15 + 12x) = 8x + -4(2 + x) + -9 Reorder the terms: -2 + 15 + 2x + 12x = 8x + -4(2 + x) + -9 Combine like terms: -2 + 15 = 13 13 + 2x + 12x = 8x + -4(2 + x) + -9 Combine like terms: 2x + 12x = 14x 13 + 14x = 8x + -4(2 + x) + -9 13 + 14x = 8x + (2 * -4 + x * -4) + -9 13 + 14x = 8x + (-8 + -4x) + -9 Reorder the terms: 13 + 14x = -8 + -9 + 8x + -4x Combine like terms: -8 + -9 = -17 13 + 14x = -17 + 8x + -4x Combine like terms: 8x + -4x = 4x 13 + 14x = -17 + 4x Solving 13 + 14x = -17 + 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. 13 + 14x + -4x = -17 + 4x + -4x Combine like terms: 14x + -4x = 10x 13 + 10x = -17 + 4x + -4x Combine like terms: 4x + -4x = 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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