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Simplifying 2x + -3(2x + -5) = 7 + -2x Reorder the terms: 2x + -3(-5 + 2x) = 7 + -2x 2x + (-5 * -3 + 2x * -3) = 7 + -2x 2x + (15 + -6x) = 7 + -2x Reorder the terms: 15 + 2x + -6x = 7 + -2x Combine like terms: 2x + -6x = -4x 15 + -4x = 7 + -2x Solving 15 + -4x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + -4x + 2x = 7 + -2x + 2x Combine like terms: -4x + 2x = -2x 15 + -2x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -2x = 7 + 0 15 + -2x = 7 Add '-15' to each side of the equation. 15 + -15 + -2x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 7 + -15 -2x = 7 + -15 Combine like terms: 7 + -15 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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