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Simplifying 8(2x + -7) = 2(12x + 3) Reorder the terms: 8(-7 + 2x) = 2(12x + 3) (-7 * 8 + 2x * 8) = 2(12x + 3) (-56 + 16x) = 2(12x + 3) Reorder the terms: -56 + 16x = 2(3 + 12x) -56 + 16x = (3 * 2 + 12x * 2) -56 + 16x = (6 + 24x) Solving -56 + 16x = 6 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -56 + 16x + -24x = 6 + 24x + -24x Combine like terms: 16x + -24x = -8x -56 + -8x = 6 + 24x + -24x Combine like terms: 24x + -24x = 0 -56 + -8x = 6 + 0 -56 + -8x = 6 Add '56' to each side of the equation. -56 + 56 + -8x = 6 + 56 Combine like terms: -56 + 56 = 0 0 + -8x = 6 + 56 -8x = 6 + 56 Combine like terms: 6 + 56 = 62 -8x = 62 Divide each side by '-8'. x = -7.75 Simplifying x = -7.75
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