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Simplifying 3(x + -6) + 7 = -2(x + -4) Reorder the terms: 3(-6 + x) + 7 = -2(x + -4) (-6 * 3 + x * 3) + 7 = -2(x + -4) (-18 + 3x) + 7 = -2(x + -4) Reorder the terms: -18 + 7 + 3x = -2(x + -4) Combine like terms: -18 + 7 = -11 -11 + 3x = -2(x + -4) Reorder the terms: -11 + 3x = -2(-4 + x) -11 + 3x = (-4 * -2 + x * -2) -11 + 3x = (8 + -2x) Solving -11 + 3x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -11 + 3x + 2x = 8 + -2x + 2x Combine like terms: 3x + 2x = 5x -11 + 5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 5x = 8 + 0 -11 + 5x = 8 Add '11' to each side of the equation. -11 + 11 + 5x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 8 + 11 5x = 8 + 11 Combine like terms: 8 + 11 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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