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Simplifying 4x + -2(3x + -6) = 6(x + -3) + 10 Reorder the terms: 4x + -2(-6 + 3x) = 6(x + -3) + 10 4x + (-6 * -2 + 3x * -2) = 6(x + -3) + 10 4x + (12 + -6x) = 6(x + -3) + 10 Reorder the terms: 12 + 4x + -6x = 6(x + -3) + 10 Combine like terms: 4x + -6x = -2x 12 + -2x = 6(x + -3) + 10 Reorder the terms: 12 + -2x = 6(-3 + x) + 10 12 + -2x = (-3 * 6 + x * 6) + 10 12 + -2x = (-18 + 6x) + 10 Reorder the terms: 12 + -2x = -18 + 10 + 6x Combine like terms: -18 + 10 = -8 12 + -2x = -8 + 6x Solving 12 + -2x = -8 + 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. 12 + -2x + -6x = -8 + 6x + -6x Combine like terms: -2x + -6x = -8x 12 + -8x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -8x = -8 + 0 12 + -8x = -8 Add '-12' to each side of the equation. 12 + -12 + -8x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -8 + -12 -8x = -8 + -12 Combine like terms: -8 + -12 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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