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Simplifying 4(2x + 2) = 6(3x + -7) Reorder the terms: 4(2 + 2x) = 6(3x + -7) (2 * 4 + 2x * 4) = 6(3x + -7) (8 + 8x) = 6(3x + -7) Reorder the terms: 8 + 8x = 6(-7 + 3x) 8 + 8x = (-7 * 6 + 3x * 6) 8 + 8x = (-42 + 18x) Solving 8 + 8x = -42 + 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. 8 + 8x + -18x = -42 + 18x + -18x Combine like terms: 8x + -18x = -10x 8 + -10x = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 8 + -10x = -42 + 0 8 + -10x = -42 Add '-8' to each side of the equation. 8 + -8 + -10x = -42 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -42 + -8 -10x = -42 + -8 Combine like terms: -42 + -8 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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