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Simplifying 9x + -1x + -3(x + -2) + 4(x + 1) = 10(x + -1) + -20x Reorder the terms: 9x + -1x + -3(-2 + x) + 4(x + 1) = 10(x + -1) + -20x 9x + -1x + (-2 * -3 + x * -3) + 4(x + 1) = 10(x + -1) + -20x 9x + -1x + (6 + -3x) + 4(x + 1) = 10(x + -1) + -20x Reorder the terms: 9x + -1x + 6 + -3x + 4(1 + x) = 10(x + -1) + -20x 9x + -1x + 6 + -3x + (1 * 4 + x * 4) = 10(x + -1) + -20x 9x + -1x + 6 + -3x + (4 + 4x) = 10(x + -1) + -20x Reorder the terms: 6 + 4 + 9x + -1x + -3x + 4x = 10(x + -1) + -20x Combine like terms: 6 + 4 = 10 10 + 9x + -1x + -3x + 4x = 10(x + -1) + -20x Combine like terms: 9x + -1x = 8x 10 + 8x + -3x + 4x = 10(x + -1) + -20x Combine like terms: 8x + -3x = 5x 10 + 5x + 4x = 10(x + -1) + -20x Combine like terms: 5x + 4x = 9x 10 + 9x = 10(x + -1) + -20x Reorder the terms: 10 + 9x = 10(-1 + x) + -20x 10 + 9x = (-1 * 10 + x * 10) + -20x 10 + 9x = (-10 + 10x) + -20x Combine like terms: 10x + -20x = -10x 10 + 9x = -10 + -10x Solving 10 + 9x = -10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 10 + 9x + 10x = -10 + -10x + 10x Combine like terms: 9x + 10x = 19x 10 + 19x = -10 + -10x + 10x Combine like terms: -10x + 10x = 0 10 + 19x = -10 + 0 10 + 19x = -10 Add '-10' to each side of the equation. 10 + -10 + 19x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 19x = -10 + -10 19x = -10 + -10 Combine like terms: -10 + -10 = -20 19x = -20 Divide each side by '19'. x = -1.052631579 Simplifying x = -1.052631579
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