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Simplifying 4(2x + 2) = 15(3x + -6) Reorder the terms: 4(2 + 2x) = 15(3x + -6) (2 * 4 + 2x * 4) = 15(3x + -6) (8 + 8x) = 15(3x + -6) Reorder the terms: 8 + 8x = 15(-6 + 3x) 8 + 8x = (-6 * 15 + 3x * 15) 8 + 8x = (-90 + 45x) Solving 8 + 8x = -90 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 8 + 8x + -45x = -90 + 45x + -45x Combine like terms: 8x + -45x = -37x 8 + -37x = -90 + 45x + -45x Combine like terms: 45x + -45x = 0 8 + -37x = -90 + 0 8 + -37x = -90 Add '-8' to each side of the equation. 8 + -8 + -37x = -90 + -8 Combine like terms: 8 + -8 = 0 0 + -37x = -90 + -8 -37x = -90 + -8 Combine like terms: -90 + -8 = -98 -37x = -98 Divide each side by '-37'. x = 2.648648649 Simplifying x = 2.648648649
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