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Simplifying 3(x + -5) + -2(x + -4) = 2 + -7(x + -1) Reorder the terms: 3(-5 + x) + -2(x + -4) = 2 + -7(x + -1) (-5 * 3 + x * 3) + -2(x + -4) = 2 + -7(x + -1) (-15 + 3x) + -2(x + -4) = 2 + -7(x + -1) Reorder the terms: -15 + 3x + -2(-4 + x) = 2 + -7(x + -1) -15 + 3x + (-4 * -2 + x * -2) = 2 + -7(x + -1) -15 + 3x + (8 + -2x) = 2 + -7(x + -1) Reorder the terms: -15 + 8 + 3x + -2x = 2 + -7(x + -1) Combine like terms: -15 + 8 = -7 -7 + 3x + -2x = 2 + -7(x + -1) Combine like terms: 3x + -2x = 1x -7 + 1x = 2 + -7(x + -1) Reorder the terms: -7 + 1x = 2 + -7(-1 + x) -7 + 1x = 2 + (-1 * -7 + x * -7) -7 + 1x = 2 + (7 + -7x) Combine like terms: 2 + 7 = 9 -7 + 1x = 9 + -7x Solving -7 + 1x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -7 + 1x + 7x = 9 + -7x + 7x Combine like terms: 1x + 7x = 8x -7 + 8x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 8x = 9 + 0 -7 + 8x = 9 Add '7' to each side of the equation. -7 + 7 + 8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 9 + 7 8x = 9 + 7 Combine like terms: 9 + 7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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