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Simplifying 3x + 4(x + -8) + -1x = 1(10x + 15) Reorder the terms: 3x + 4(-8 + x) + -1x = 1(10x + 15) 3x + (-8 * 4 + x * 4) + -1x = 1(10x + 15) 3x + (-32 + 4x) + -1x = 1(10x + 15) Reorder the terms: -32 + 3x + 4x + -1x = 1(10x + 15) Combine like terms: 3x + 4x = 7x -32 + 7x + -1x = 1(10x + 15) Combine like terms: 7x + -1x = 6x -32 + 6x = 1(10x + 15) Reorder the terms: -32 + 6x = 1(15 + 10x) -32 + 6x = (15 * 1 + 10x * 1) -32 + 6x = (15 + 10x) Solving -32 + 6x = 15 + 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. -32 + 6x + -10x = 15 + 10x + -10x Combine like terms: 6x + -10x = -4x -32 + -4x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + -4x = 15 + 0 -32 + -4x = 15 Add '32' to each side of the equation. -32 + 32 + -4x = 15 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = 15 + 32 -4x = 15 + 32 Combine like terms: 15 + 32 = 47 -4x = 47 Divide each side by '-4'. x = -11.75 Simplifying x = -11.75
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