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Simplifying 3(x + -4) + -7 = -5(x + -2) Reorder the terms: 3(-4 + x) + -7 = -5(x + -2) (-4 * 3 + x * 3) + -7 = -5(x + -2) (-12 + 3x) + -7 = -5(x + -2) Reorder the terms: -12 + -7 + 3x = -5(x + -2) Combine like terms: -12 + -7 = -19 -19 + 3x = -5(x + -2) Reorder the terms: -19 + 3x = -5(-2 + x) -19 + 3x = (-2 * -5 + x * -5) -19 + 3x = (10 + -5x) Solving -19 + 3x = 10 + -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. -19 + 3x + 5x = 10 + -5x + 5x Combine like terms: 3x + 5x = 8x -19 + 8x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -19 + 8x = 10 + 0 -19 + 8x = 10 Add '19' to each side of the equation. -19 + 19 + 8x = 10 + 19 Combine like terms: -19 + 19 = 0 0 + 8x = 10 + 19 8x = 10 + 19 Combine like terms: 10 + 19 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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