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Simplifying 3(x + -1) + -2x + 3 = 5x + 4(x + 10) Reorder the terms: 3(-1 + x) + -2x + 3 = 5x + 4(x + 10) (-1 * 3 + x * 3) + -2x + 3 = 5x + 4(x + 10) (-3 + 3x) + -2x + 3 = 5x + 4(x + 10) Reorder the terms: -3 + 3 + 3x + -2x = 5x + 4(x + 10) Combine like terms: -3 + 3 = 0 0 + 3x + -2x = 5x + 4(x + 10) 3x + -2x = 5x + 4(x + 10) Combine like terms: 3x + -2x = 1x 1x = 5x + 4(x + 10) Reorder the terms: 1x = 5x + 4(10 + x) 1x = 5x + (10 * 4 + x * 4) 1x = 5x + (40 + 4x) Reorder the terms: 1x = 40 + 5x + 4x Combine like terms: 5x + 4x = 9x 1x = 40 + 9x Solving 1x = 40 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1x + -9x = 40 + 9x + -9x Combine like terms: 1x + -9x = -8x -8x = 40 + 9x + -9x Combine like terms: 9x + -9x = 0 -8x = 40 + 0 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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