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Simplifying 5(2x + -5) + 7 = -2(3x + -12) Reorder the terms: 5(-5 + 2x) + 7 = -2(3x + -12) (-5 * 5 + 2x * 5) + 7 = -2(3x + -12) (-25 + 10x) + 7 = -2(3x + -12) Reorder the terms: -25 + 7 + 10x = -2(3x + -12) Combine like terms: -25 + 7 = -18 -18 + 10x = -2(3x + -12) Reorder the terms: -18 + 10x = -2(-12 + 3x) -18 + 10x = (-12 * -2 + 3x * -2) -18 + 10x = (24 + -6x) Solving -18 + 10x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -18 + 10x + 6x = 24 + -6x + 6x Combine like terms: 10x + 6x = 16x -18 + 16x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 16x = 24 + 0 -18 + 16x = 24 Add '18' to each side of the equation. -18 + 18 + 16x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 16x = 24 + 18 16x = 24 + 18 Combine like terms: 24 + 18 = 42 16x = 42 Divide each side by '16'. x = 2.625 Simplifying x = 2.625
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