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Simplifying 3(3x + 4) = 8(2x + -2) Reorder the terms: 3(4 + 3x) = 8(2x + -2) (4 * 3 + 3x * 3) = 8(2x + -2) (12 + 9x) = 8(2x + -2) Reorder the terms: 12 + 9x = 8(-2 + 2x) 12 + 9x = (-2 * 8 + 2x * 8) 12 + 9x = (-16 + 16x) Solving 12 + 9x = -16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 9x + -16x = -16 + 16x + -16x Combine like terms: 9x + -16x = -7x 12 + -7x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + -7x = -16 + 0 12 + -7x = -16 Add '-12' to each side of the equation. 12 + -12 + -7x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -16 + -12 -7x = -16 + -12 Combine like terms: -16 + -12 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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