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Simplifying 4(-6x + -8) = 3x + 12 Reorder the terms: 4(-8 + -6x) = 3x + 12 (-8 * 4 + -6x * 4) = 3x + 12 (-32 + -24x) = 3x + 12 Reorder the terms: -32 + -24x = 12 + 3x Solving -32 + -24x = 12 + 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 + -24x + -3x = 12 + 3x + -3x Combine like terms: -24x + -3x = -27x -32 + -27x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -27x = 12 + 0 -32 + -27x = 12 Add '32' to each side of the equation. -32 + 32 + -27x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -27x = 12 + 32 -27x = 12 + 32 Combine like terms: 12 + 32 = 44 -27x = 44 Divide each side by '-27'. x = -1.62962963 Simplifying x = -1.62962963
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