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Simplifying 7(2x + 8) = -3(-6x + 4) Reorder the terms: 7(8 + 2x) = -3(-6x + 4) (8 * 7 + 2x * 7) = -3(-6x + 4) (56 + 14x) = -3(-6x + 4) Reorder the terms: 56 + 14x = -3(4 + -6x) 56 + 14x = (4 * -3 + -6x * -3) 56 + 14x = (-12 + 18x) Solving 56 + 14x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 56 + 14x + -18x = -12 + 18x + -18x Combine like terms: 14x + -18x = -4x 56 + -4x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 56 + -4x = -12 + 0 56 + -4x = -12 Add '-56' to each side of the equation. 56 + -56 + -4x = -12 + -56 Combine like terms: 56 + -56 = 0 0 + -4x = -12 + -56 -4x = -12 + -56 Combine like terms: -12 + -56 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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