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Simplifying 4(x + 5) + -7 = 3(x + -8) Reorder the terms: 4(5 + x) + -7 = 3(x + -8) (5 * 4 + x * 4) + -7 = 3(x + -8) (20 + 4x) + -7 = 3(x + -8) Reorder the terms: 20 + -7 + 4x = 3(x + -8) Combine like terms: 20 + -7 = 13 13 + 4x = 3(x + -8) Reorder the terms: 13 + 4x = 3(-8 + x) 13 + 4x = (-8 * 3 + x * 3) 13 + 4x = (-24 + 3x) Solving 13 + 4x = -24 + 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 + 4x + -3x = -24 + 3x + -3x Combine like terms: 4x + -3x = 1x 13 + 1x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 1x = -24 + 0 13 + 1x = -24 Add '-13' to each side of the equation. 13 + -13 + 1x = -24 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = -24 + -13 1x = -24 + -13 Combine like terms: -24 + -13 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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