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Simplifying 2(x + -2) = 5(2 + -3x) Reorder the terms: 2(-2 + x) = 5(2 + -3x) (-2 * 2 + x * 2) = 5(2 + -3x) (-4 + 2x) = 5(2 + -3x) -4 + 2x = (2 * 5 + -3x * 5) -4 + 2x = (10 + -15x) Solving -4 + 2x = 10 + -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 = 10 + -15x + 15x Combine like terms: 2x + 15x = 17x -4 + 17x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 -4 + 17x = 10 + 0 -4 + 17x = 10 Add '4' to each side of the equation. -4 + 4 + 17x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 17x = 10 + 4 17x = 10 + 4 Combine like terms: 10 + 4 = 14 17x = 14 Divide each side by '17'. x = 0.8235294118 Simplifying x = 0.8235294118
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