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Simplifying 3(-2x + 5) + 4(x + -2) = x + -5 Reorder the terms: 3(5 + -2x) + 4(x + -2) = x + -5 (5 * 3 + -2x * 3) + 4(x + -2) = x + -5 (15 + -6x) + 4(x + -2) = x + -5 Reorder the terms: 15 + -6x + 4(-2 + x) = x + -5 15 + -6x + (-2 * 4 + x * 4) = x + -5 15 + -6x + (-8 + 4x) = x + -5 Reorder the terms: 15 + -8 + -6x + 4x = x + -5 Combine like terms: 15 + -8 = 7 7 + -6x + 4x = x + -5 Combine like terms: -6x + 4x = -2x 7 + -2x = x + -5 Reorder the terms: 7 + -2x = -5 + x Solving 7 + -2x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -2x + -1x = -5 + x + -1x Combine like terms: -2x + -1x = -3x 7 + -3x = -5 + x + -1x Combine like terms: x + -1x = 0 7 + -3x = -5 + 0 7 + -3x = -5 Add '-7' to each side of the equation. 7 + -7 + -3x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -5 + -7 -3x = -5 + -7 Combine like terms: -5 + -7 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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