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Simplifying 4x + -2(3x + -7) = 2(2x + -9) + 6x Reorder the terms: 4x + -2(-7 + 3x) = 2(2x + -9) + 6x 4x + (-7 * -2 + 3x * -2) = 2(2x + -9) + 6x 4x + (14 + -6x) = 2(2x + -9) + 6x Reorder the terms: 14 + 4x + -6x = 2(2x + -9) + 6x Combine like terms: 4x + -6x = -2x 14 + -2x = 2(2x + -9) + 6x Reorder the terms: 14 + -2x = 2(-9 + 2x) + 6x 14 + -2x = (-9 * 2 + 2x * 2) + 6x 14 + -2x = (-18 + 4x) + 6x Combine like terms: 4x + 6x = 10x 14 + -2x = -18 + 10x Solving 14 + -2x = -18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + -2x + -10x = -18 + 10x + -10x Combine like terms: -2x + -10x = -12x 14 + -12x = -18 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -12x = -18 + 0 14 + -12x = -18 Add '-14' to each side of the equation. 14 + -14 + -12x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = -18 + -14 -12x = -18 + -14 Combine like terms: -18 + -14 = -32 -12x = -32 Divide each side by '-12'. x = 2.666666667 Simplifying x = 2.666666667
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