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Simplifying 3(5 + -1x) + 3 = 6(8 + 2x) (5 * 3 + -1x * 3) + 3 = 6(8 + 2x) (15 + -3x) + 3 = 6(8 + 2x) Reorder the terms: 15 + 3 + -3x = 6(8 + 2x) Combine like terms: 15 + 3 = 18 18 + -3x = 6(8 + 2x) 18 + -3x = (8 * 6 + 2x * 6) 18 + -3x = (48 + 12x) Solving 18 + -3x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + -3x + -12x = 48 + 12x + -12x Combine like terms: -3x + -12x = -15x 18 + -15x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -15x = 48 + 0 18 + -15x = 48 Add '-18' to each side of the equation. 18 + -18 + -15x = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -15x = 48 + -18 -15x = 48 + -18 Combine like terms: 48 + -18 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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