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Simplifying 4x + 7 = 3(x + -9) + -5 Reorder the terms: 7 + 4x = 3(x + -9) + -5 Reorder the terms: 7 + 4x = 3(-9 + x) + -5 7 + 4x = (-9 * 3 + x * 3) + -5 7 + 4x = (-27 + 3x) + -5 Reorder the terms: 7 + 4x = -27 + -5 + 3x Combine like terms: -27 + -5 = -32 7 + 4x = -32 + 3x Solving 7 + 4x = -32 + 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. 7 + 4x + -3x = -32 + 3x + -3x Combine like terms: 4x + -3x = 1x 7 + 1x = -32 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 1x = -32 + 0 7 + 1x = -32 Add '-7' to each side of the equation. 7 + -7 + 1x = -32 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -32 + -7 1x = -32 + -7 Combine like terms: -32 + -7 = -39 1x = -39 Divide each side by '1'. x = -39 Simplifying x = -39
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