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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 = 1x -11 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 1x = 8 + 0 -11 + 1x = 8 Add '11' to each side of the equation. -11 + 11 + 1x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 8 + 11 1x = 8 + 11 Combine like terms: 8 + 11 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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