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Simplifying 6(2x + -3) + -5(4 + -2x) = 7(2x + -2) Reorder the terms: 6(-3 + 2x) + -5(4 + -2x) = 7(2x + -2) (-3 * 6 + 2x * 6) + -5(4 + -2x) = 7(2x + -2) (-18 + 12x) + -5(4 + -2x) = 7(2x + -2) -18 + 12x + (4 * -5 + -2x * -5) = 7(2x + -2) -18 + 12x + (-20 + 10x) = 7(2x + -2) Reorder the terms: -18 + -20 + 12x + 10x = 7(2x + -2) Combine like terms: -18 + -20 = -38 -38 + 12x + 10x = 7(2x + -2) Combine like terms: 12x + 10x = 22x -38 + 22x = 7(2x + -2) Reorder the terms: -38 + 22x = 7(-2 + 2x) -38 + 22x = (-2 * 7 + 2x * 7) -38 + 22x = (-14 + 14x) Solving -38 + 22x = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -38 + 22x + -14x = -14 + 14x + -14x Combine like terms: 22x + -14x = 8x -38 + 8x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 -38 + 8x = -14 + 0 -38 + 8x = -14 Add '38' to each side of the equation. -38 + 38 + 8x = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = -14 + 38 8x = -14 + 38 Combine like terms: -14 + 38 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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