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Simplifying 5(-2x + 4) + -7 = 3x + 52 Reorder the terms: 5(4 + -2x) + -7 = 3x + 52 (4 * 5 + -2x * 5) + -7 = 3x + 52 (20 + -10x) + -7 = 3x + 52 Reorder the terms: 20 + -7 + -10x = 3x + 52 Combine like terms: 20 + -7 = 13 13 + -10x = 3x + 52 Reorder the terms: 13 + -10x = 52 + 3x Solving 13 + -10x = 52 + 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. 13 + -10x + -3x = 52 + 3x + -3x Combine like terms: -10x + -3x = -13x 13 + -13x = 52 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -13x = 52 + 0 13 + -13x = 52 Add '-13' to each side of the equation. 13 + -13 + -13x = 52 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = 52 + -13 -13x = 52 + -13 Combine like terms: 52 + -13 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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