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Simplifying 6x + 4(-1x + 8) = 4 + -3(x + 5) Reorder the terms: 6x + 4(8 + -1x) = 4 + -3(x + 5) 6x + (8 * 4 + -1x * 4) = 4 + -3(x + 5) 6x + (32 + -4x) = 4 + -3(x + 5) Reorder the terms: 32 + 6x + -4x = 4 + -3(x + 5) Combine like terms: 6x + -4x = 2x 32 + 2x = 4 + -3(x + 5) Reorder the terms: 32 + 2x = 4 + -3(5 + x) 32 + 2x = 4 + (5 * -3 + x * -3) 32 + 2x = 4 + (-15 + -3x) Combine like terms: 4 + -15 = -11 32 + 2x = -11 + -3x Solving 32 + 2x = -11 + -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. 32 + 2x + 3x = -11 + -3x + 3x Combine like terms: 2x + 3x = 5x 32 + 5x = -11 + -3x + 3x Combine like terms: -3x + 3x = 0 32 + 5x = -11 + 0 32 + 5x = -11 Add '-32' to each side of the equation. 32 + -32 + 5x = -11 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = -11 + -32 5x = -11 + -32 Combine like terms: -11 + -32 = -43 5x = -43 Divide each side by '5'. x = -8.6 Simplifying x = -8.6
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