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Simplifying 3(x + 4) + -6 * 8 = 2(2x + -7) Reorder the terms: 3(4 + x) + -6 * 8 = 2(2x + -7) (4 * 3 + x * 3) + -6 * 8 = 2(2x + -7) (12 + 3x) + -6 * 8 = 2(2x + -7) Multiply -6 * 8 12 + 3x + -48 = 2(2x + -7) Reorder the terms: 12 + -48 + 3x = 2(2x + -7) Combine like terms: 12 + -48 = -36 -36 + 3x = 2(2x + -7) Reorder the terms: -36 + 3x = 2(-7 + 2x) -36 + 3x = (-7 * 2 + 2x * 2) -36 + 3x = (-14 + 4x) Solving -36 + 3x = -14 + 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. -36 + 3x + -4x = -14 + 4x + -4x Combine like terms: 3x + -4x = -1x -36 + -1x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + -1x = -14 + 0 -36 + -1x = -14 Add '36' to each side of the equation. -36 + 36 + -1x = -14 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = -14 + 36 -1x = -14 + 36 Combine like terms: -14 + 36 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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