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Simplifying 4x + 5 + -4x + -6(x + -1) + -3 = 2x + -12 Reorder the terms: 4x + 5 + -4x + -6(-1 + x) + -3 = 2x + -12 4x + 5 + -4x + (-1 * -6 + x * -6) + -3 = 2x + -12 4x + 5 + -4x + (6 + -6x) + -3 = 2x + -12 Reorder the terms: 5 + 6 + -3 + 4x + -4x + -6x = 2x + -12 Combine like terms: 5 + 6 = 11 11 + -3 + 4x + -4x + -6x = 2x + -12 Combine like terms: 11 + -3 = 8 8 + 4x + -4x + -6x = 2x + -12 Combine like terms: 4x + -4x = 0 8 + 0 + -6x = 2x + -12 8 + -6x = 2x + -12 Reorder the terms: 8 + -6x = -12 + 2x Solving 8 + -6x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -6x + -2x = -12 + 2x + -2x Combine like terms: -6x + -2x = -8x 8 + -8x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -8x = -12 + 0 8 + -8x = -12 Add '-8' to each side of the equation. 8 + -8 + -8x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -12 + -8 -8x = -12 + -8 Combine like terms: -12 + -8 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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