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Simplifying 2x + 4(2x + -6) = 2x + 3(3x + -7) Reorder the terms: 2x + 4(-6 + 2x) = 2x + 3(3x + -7) 2x + (-6 * 4 + 2x * 4) = 2x + 3(3x + -7) 2x + (-24 + 8x) = 2x + 3(3x + -7) Reorder the terms: -24 + 2x + 8x = 2x + 3(3x + -7) Combine like terms: 2x + 8x = 10x -24 + 10x = 2x + 3(3x + -7) Reorder the terms: -24 + 10x = 2x + 3(-7 + 3x) -24 + 10x = 2x + (-7 * 3 + 3x * 3) -24 + 10x = 2x + (-21 + 9x) Reorder the terms: -24 + 10x = -21 + 2x + 9x Combine like terms: 2x + 9x = 11x -24 + 10x = -21 + 11x Solving -24 + 10x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -24 + 10x + -11x = -21 + 11x + -11x Combine like terms: 10x + -11x = -1x -24 + -1x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + -1x = -21 + 0 -24 + -1x = -21 Add '24' to each side of the equation. -24 + 24 + -1x = -21 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -21 + 24 -1x = -21 + 24 Combine like terms: -21 + 24 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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