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Simplifying 7(2x + 2) = 8(3x + -2) Reorder the terms: 7(2 + 2x) = 8(3x + -2) (2 * 7 + 2x * 7) = 8(3x + -2) (14 + 14x) = 8(3x + -2) Reorder the terms: 14 + 14x = 8(-2 + 3x) 14 + 14x = (-2 * 8 + 3x * 8) 14 + 14x = (-16 + 24x) Solving 14 + 14x = -16 + 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. 14 + 14x + -24x = -16 + 24x + -24x Combine like terms: 14x + -24x = -10x 14 + -10x = -16 + 24x + -24x Combine like terms: 24x + -24x = 0 14 + -10x = -16 + 0 14 + -10x = -16 Add '-14' to each side of the equation. 14 + -14 + -10x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -16 + -14 -10x = -16 + -14 Combine like terms: -16 + -14 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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