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Simplifying 2(3x + -4) + 2x + -5 = 7 + -2x Reorder the terms: 2(-4 + 3x) + 2x + -5 = 7 + -2x (-4 * 2 + 3x * 2) + 2x + -5 = 7 + -2x (-8 + 6x) + 2x + -5 = 7 + -2x Reorder the terms: -8 + -5 + 6x + 2x = 7 + -2x Combine like terms: -8 + -5 = -13 -13 + 6x + 2x = 7 + -2x Combine like terms: 6x + 2x = 8x -13 + 8x = 7 + -2x Solving -13 + 8x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -13 + 8x + 2x = 7 + -2x + 2x Combine like terms: 8x + 2x = 10x -13 + 10x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 10x = 7 + 0 -13 + 10x = 7 Add '13' to each side of the equation. -13 + 13 + 10x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 10x = 7 + 13 10x = 7 + 13 Combine like terms: 7 + 13 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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