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Simplifying 5 + -3(x + -3) + -20 = 4(x + 1) + -1(9x + 6) + 10x Reorder the terms: 5 + -3(-3 + x) + -20 = 4(x + 1) + -1(9x + 6) + 10x 5 + (-3 * -3 + x * -3) + -20 = 4(x + 1) + -1(9x + 6) + 10x 5 + (9 + -3x) + -20 = 4(x + 1) + -1(9x + 6) + 10x Reorder the terms: 5 + 9 + -20 + -3x = 4(x + 1) + -1(9x + 6) + 10x Combine like terms: 5 + 9 = 14 14 + -20 + -3x = 4(x + 1) + -1(9x + 6) + 10x Combine like terms: 14 + -20 = -6 -6 + -3x = 4(x + 1) + -1(9x + 6) + 10x Reorder the terms: -6 + -3x = 4(1 + x) + -1(9x + 6) + 10x -6 + -3x = (1 * 4 + x * 4) + -1(9x + 6) + 10x -6 + -3x = (4 + 4x) + -1(9x + 6) + 10x Reorder the terms: -6 + -3x = 4 + 4x + -1(6 + 9x) + 10x -6 + -3x = 4 + 4x + (6 * -1 + 9x * -1) + 10x -6 + -3x = 4 + 4x + (-6 + -9x) + 10x Reorder the terms: -6 + -3x = 4 + -6 + 4x + -9x + 10x Combine like terms: 4 + -6 = -2 -6 + -3x = -2 + 4x + -9x + 10x Combine like terms: 4x + -9x = -5x -6 + -3x = -2 + -5x + 10x Combine like terms: -5x + 10x = 5x -6 + -3x = -2 + 5x Solving -6 + -3x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -3x + -5x = -2 + 5x + -5x Combine like terms: -3x + -5x = -8x -6 + -8x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -8x = -2 + 0 -6 + -8x = -2 Add '6' to each side of the equation. -6 + 6 + -8x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -2 + 6 -8x = -2 + 6 Combine like terms: -2 + 6 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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