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Simplifying 2(x + -1) + -7x = 18 + -15(x + 4) Reorder the terms: 2(-1 + x) + -7x = 18 + -15(x + 4) (-1 * 2 + x * 2) + -7x = 18 + -15(x + 4) (-2 + 2x) + -7x = 18 + -15(x + 4) Combine like terms: 2x + -7x = -5x -2 + -5x = 18 + -15(x + 4) Reorder the terms: -2 + -5x = 18 + -15(4 + x) -2 + -5x = 18 + (4 * -15 + x * -15) -2 + -5x = 18 + (-60 + -15x) Combine like terms: 18 + -60 = -42 -2 + -5x = -42 + -15x Solving -2 + -5x = -42 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -2 + -5x + 15x = -42 + -15x + 15x Combine like terms: -5x + 15x = 10x -2 + 10x = -42 + -15x + 15x Combine like terms: -15x + 15x = 0 -2 + 10x = -42 + 0 -2 + 10x = -42 Add '2' to each side of the equation. -2 + 2 + 10x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -42 + 2 10x = -42 + 2 Combine like terms: -42 + 2 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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