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Simplifying 2(3x + -5) = 7(x + -2) Reorder the terms: 2(-5 + 3x) = 7(x + -2) (-5 * 2 + 3x * 2) = 7(x + -2) (-10 + 6x) = 7(x + -2) Reorder the terms: -10 + 6x = 7(-2 + x) -10 + 6x = (-2 * 7 + x * 7) -10 + 6x = (-14 + 7x) Solving -10 + 6x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 6x + -7x = -14 + 7x + -7x Combine like terms: 6x + -7x = -1x -10 + -1x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -1x = -14 + 0 -10 + -1x = -14 Add '10' to each side of the equation. -10 + 10 + -1x = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -14 + 10 -1x = -14 + 10 Combine like terms: -14 + 10 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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