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Simplifying 2x + 4(2x + -6) = 3x + 5(2x + -9) Reorder the terms: 2x + 4(-6 + 2x) = 3x + 5(2x + -9) 2x + (-6 * 4 + 2x * 4) = 3x + 5(2x + -9) 2x + (-24 + 8x) = 3x + 5(2x + -9) Reorder the terms: -24 + 2x + 8x = 3x + 5(2x + -9) Combine like terms: 2x + 8x = 10x -24 + 10x = 3x + 5(2x + -9) Reorder the terms: -24 + 10x = 3x + 5(-9 + 2x) -24 + 10x = 3x + (-9 * 5 + 2x * 5) -24 + 10x = 3x + (-45 + 10x) Reorder the terms: -24 + 10x = -45 + 3x + 10x Combine like terms: 3x + 10x = 13x -24 + 10x = -45 + 13x Solving -24 + 10x = -45 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -24 + 10x + -13x = -45 + 13x + -13x Combine like terms: 10x + -13x = -3x -24 + -3x = -45 + 13x + -13x Combine like terms: 13x + -13x = 0 -24 + -3x = -45 + 0 -24 + -3x = -45 Add '24' to each side of the equation. -24 + 24 + -3x = -45 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -45 + 24 -3x = -45 + 24 Combine like terms: -45 + 24 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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