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Simplifying 4x + 32 = 3(3x + -10) + -8 Reorder the terms: 32 + 4x = 3(3x + -10) + -8 Reorder the terms: 32 + 4x = 3(-10 + 3x) + -8 32 + 4x = (-10 * 3 + 3x * 3) + -8 32 + 4x = (-30 + 9x) + -8 Reorder the terms: 32 + 4x = -30 + -8 + 9x Combine like terms: -30 + -8 = -38 32 + 4x = -38 + 9x Solving 32 + 4x = -38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 4x + -9x = -38 + 9x + -9x Combine like terms: 4x + -9x = -5x 32 + -5x = -38 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -5x = -38 + 0 32 + -5x = -38 Add '-32' to each side of the equation. 32 + -32 + -5x = -38 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = -38 + -32 -5x = -38 + -32 Combine like terms: -38 + -32 = -70 -5x = -70 Divide each side by '-5'. x = 14 Simplifying x = 14
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