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Simplifying 5(-3x + 7) + -4(5 + -2x) = 78 Reorder the terms: 5(7 + -3x) + -4(5 + -2x) = 78 (7 * 5 + -3x * 5) + -4(5 + -2x) = 78 (35 + -15x) + -4(5 + -2x) = 78 35 + -15x + (5 * -4 + -2x * -4) = 78 35 + -15x + (-20 + 8x) = 78 Reorder the terms: 35 + -20 + -15x + 8x = 78 Combine like terms: 35 + -20 = 15 15 + -15x + 8x = 78 Combine like terms: -15x + 8x = -7x 15 + -7x = 78 Solving 15 + -7x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -7x = 78 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 78 + -15 -7x = 78 + -15 Combine like terms: 78 + -15 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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