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Simplifying 2(x + 2) = 7 + -5(3x + 3) Reorder the terms: 2(2 + x) = 7 + -5(3x + 3) (2 * 2 + x * 2) = 7 + -5(3x + 3) (4 + 2x) = 7 + -5(3x + 3) Reorder the terms: 4 + 2x = 7 + -5(3 + 3x) 4 + 2x = 7 + (3 * -5 + 3x * -5) 4 + 2x = 7 + (-15 + -15x) Combine like terms: 7 + -15 = -8 4 + 2x = -8 + -15x Solving 4 + 2x = -8 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 4 + 2x + 15x = -8 + -15x + 15x Combine like terms: 2x + 15x = 17x 4 + 17x = -8 + -15x + 15x Combine like terms: -15x + 15x = 0 4 + 17x = -8 + 0 4 + 17x = -8 Add '-4' to each side of the equation. 4 + -4 + 17x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = -8 + -4 17x = -8 + -4 Combine like terms: -8 + -4 = -12 17x = -12 Divide each side by '17'. x = -0.7058823529 Simplifying x = -0.7058823529
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