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Simplifying 2(x + -2) + -3(2x + -5) = 3x + 7 Reorder the terms: 2(-2 + x) + -3(2x + -5) = 3x + 7 (-2 * 2 + x * 2) + -3(2x + -5) = 3x + 7 (-4 + 2x) + -3(2x + -5) = 3x + 7 Reorder the terms: -4 + 2x + -3(-5 + 2x) = 3x + 7 -4 + 2x + (-5 * -3 + 2x * -3) = 3x + 7 -4 + 2x + (15 + -6x) = 3x + 7 Reorder the terms: -4 + 15 + 2x + -6x = 3x + 7 Combine like terms: -4 + 15 = 11 11 + 2x + -6x = 3x + 7 Combine like terms: 2x + -6x = -4x 11 + -4x = 3x + 7 Reorder the terms: 11 + -4x = 7 + 3x Solving 11 + -4x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + -4x + -3x = 7 + 3x + -3x Combine like terms: -4x + -3x = -7x 11 + -7x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -7x = 7 + 0 11 + -7x = 7 Add '-11' to each side of the equation. 11 + -11 + -7x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -7x = 7 + -11 -7x = 7 + -11 Combine like terms: 7 + -11 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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