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Simplifying 3(x + 5) + 7 = 2(x + -8) + -4x Reorder the terms: 3(5 + x) + 7 = 2(x + -8) + -4x (5 * 3 + x * 3) + 7 = 2(x + -8) + -4x (15 + 3x) + 7 = 2(x + -8) + -4x Reorder the terms: 15 + 7 + 3x = 2(x + -8) + -4x Combine like terms: 15 + 7 = 22 22 + 3x = 2(x + -8) + -4x Reorder the terms: 22 + 3x = 2(-8 + x) + -4x 22 + 3x = (-8 * 2 + x * 2) + -4x 22 + 3x = (-16 + 2x) + -4x Combine like terms: 2x + -4x = -2x 22 + 3x = -16 + -2x Solving 22 + 3x = -16 + -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. 22 + 3x + 2x = -16 + -2x + 2x Combine like terms: 3x + 2x = 5x 22 + 5x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + 5x = -16 + 0 22 + 5x = -16 Add '-22' to each side of the equation. 22 + -22 + 5x = -16 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = -16 + -22 5x = -16 + -22 Combine like terms: -16 + -22 = -38 5x = -38 Divide each side by '5'. x = -7.6 Simplifying x = -7.6
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