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Simplifying -3x + 23 + -7(x + -1) = 6x + -1(5x + -8) + -2x + 4 Reorder the terms: -3x + 23 + -7(-1 + x) = 6x + -1(5x + -8) + -2x + 4 -3x + 23 + (-1 * -7 + x * -7) = 6x + -1(5x + -8) + -2x + 4 -3x + 23 + (7 + -7x) = 6x + -1(5x + -8) + -2x + 4 Reorder the terms: 23 + 7 + -3x + -7x = 6x + -1(5x + -8) + -2x + 4 Combine like terms: 23 + 7 = 30 30 + -3x + -7x = 6x + -1(5x + -8) + -2x + 4 Combine like terms: -3x + -7x = -10x 30 + -10x = 6x + -1(5x + -8) + -2x + 4 Reorder the terms: 30 + -10x = 6x + -1(-8 + 5x) + -2x + 4 30 + -10x = 6x + (-8 * -1 + 5x * -1) + -2x + 4 30 + -10x = 6x + (8 + -5x) + -2x + 4 Reorder the terms: 30 + -10x = 8 + 4 + 6x + -5x + -2x Combine like terms: 8 + 4 = 12 30 + -10x = 12 + 6x + -5x + -2x Combine like terms: 6x + -5x = 1x 30 + -10x = 12 + 1x + -2x Combine like terms: 1x + -2x = -1x 30 + -10x = 12 + -1x Solving 30 + -10x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + -10x + x = 12 + -1x + x Combine like terms: -10x + x = -9x 30 + -9x = 12 + -1x + x Combine like terms: -1x + x = 0 30 + -9x = 12 + 0 30 + -9x = 12 Add '-30' to each side of the equation. 30 + -30 + -9x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 12 + -30 -9x = 12 + -30 Combine like terms: 12 + -30 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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