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Simplifying 3(x + -6) + 8 = 4(x + 7) Reorder the terms: 3(-6 + x) + 8 = 4(x + 7) (-6 * 3 + x * 3) + 8 = 4(x + 7) (-18 + 3x) + 8 = 4(x + 7) Reorder the terms: -18 + 8 + 3x = 4(x + 7) Combine like terms: -18 + 8 = -10 -10 + 3x = 4(x + 7) Reorder the terms: -10 + 3x = 4(7 + x) -10 + 3x = (7 * 4 + x * 4) -10 + 3x = (28 + 4x) Solving -10 + 3x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 3x + -4x = 28 + 4x + -4x Combine like terms: 3x + -4x = -1x -10 + -1x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -1x = 28 + 0 -10 + -1x = 28 Add '10' to each side of the equation. -10 + 10 + -1x = 28 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 28 + 10 -1x = 28 + 10 Combine like terms: 28 + 10 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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