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Simplifying 12 + 4x = 8(-6x + 8) Reorder the terms: 12 + 4x = 8(8 + -6x) 12 + 4x = (8 * 8 + -6x * 8) 12 + 4x = (64 + -48x) Solving 12 + 4x = 64 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 12 + 4x + 48x = 64 + -48x + 48x Combine like terms: 4x + 48x = 52x 12 + 52x = 64 + -48x + 48x Combine like terms: -48x + 48x = 0 12 + 52x = 64 + 0 12 + 52x = 64 Add '-12' to each side of the equation. 12 + -12 + 52x = 64 + -12 Combine like terms: 12 + -12 = 0 0 + 52x = 64 + -12 52x = 64 + -12 Combine like terms: 64 + -12 = 52 52x = 52 Divide each side by '52'. x = 1 Simplifying x = 1
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