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Simplifying 4x + -6 = 6(x + 12) + 8 Reorder the terms: -6 + 4x = 6(x + 12) + 8 Reorder the terms: -6 + 4x = 6(12 + x) + 8 -6 + 4x = (12 * 6 + x * 6) + 8 -6 + 4x = (72 + 6x) + 8 Reorder the terms: -6 + 4x = 72 + 8 + 6x Combine like terms: 72 + 8 = 80 -6 + 4x = 80 + 6x Solving -6 + 4x = 80 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 4x + -6x = 80 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = 80 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = 80 + 0 -6 + -2x = 80 Add '6' to each side of the equation. -6 + 6 + -2x = 80 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 80 + 6 -2x = 80 + 6 Combine like terms: 80 + 6 = 86 -2x = 86 Divide each side by '-2'. x = -43 Simplifying x = -43
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