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Simplifying 2(3x + -7) + 6 = 4x + -3(2 + -2x) Reorder the terms: 2(-7 + 3x) + 6 = 4x + -3(2 + -2x) (-7 * 2 + 3x * 2) + 6 = 4x + -3(2 + -2x) (-14 + 6x) + 6 = 4x + -3(2 + -2x) Reorder the terms: -14 + 6 + 6x = 4x + -3(2 + -2x) Combine like terms: -14 + 6 = -8 -8 + 6x = 4x + -3(2 + -2x) -8 + 6x = 4x + (2 * -3 + -2x * -3) -8 + 6x = 4x + (-6 + 6x) Reorder the terms: -8 + 6x = -6 + 4x + 6x Combine like terms: 4x + 6x = 10x -8 + 6x = -6 + 10x Solving -8 + 6x = -6 + 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. -8 + 6x + -10x = -6 + 10x + -10x Combine like terms: 6x + -10x = -4x -8 + -4x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -4x = -6 + 0 -8 + -4x = -6 Add '8' to each side of the equation. -8 + 8 + -4x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -6 + 8 -4x = -6 + 8 Combine like terms: -6 + 8 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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