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Simplifying 6(x + 2) + -4x = 4(1x + -6) + -4(x + -2) + -1 Reorder the terms: 6(2 + x) + -4x = 4(1x + -6) + -4(x + -2) + -1 (2 * 6 + x * 6) + -4x = 4(1x + -6) + -4(x + -2) + -1 (12 + 6x) + -4x = 4(1x + -6) + -4(x + -2) + -1 Combine like terms: 6x + -4x = 2x 12 + 2x = 4(1x + -6) + -4(x + -2) + -1 Reorder the terms: 12 + 2x = 4(-6 + 1x) + -4(x + -2) + -1 12 + 2x = (-6 * 4 + 1x * 4) + -4(x + -2) + -1 12 + 2x = (-24 + 4x) + -4(x + -2) + -1 Reorder the terms: 12 + 2x = -24 + 4x + -4(-2 + x) + -1 12 + 2x = -24 + 4x + (-2 * -4 + x * -4) + -1 12 + 2x = -24 + 4x + (8 + -4x) + -1 Reorder the terms: 12 + 2x = -24 + 8 + -1 + 4x + -4x Combine like terms: -24 + 8 = -16 12 + 2x = -16 + -1 + 4x + -4x Combine like terms: -16 + -1 = -17 12 + 2x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -17 + 0 12 + 2x = -17 Solving 12 + 2x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -17 + -12 2x = -17 + -12 Combine like terms: -17 + -12 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5
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