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Simplifying 2(3x + -4) + -10 = 5(6 + -2x) Reorder the terms: 2(-4 + 3x) + -10 = 5(6 + -2x) (-4 * 2 + 3x * 2) + -10 = 5(6 + -2x) (-8 + 6x) + -10 = 5(6 + -2x) Reorder the terms: -8 + -10 + 6x = 5(6 + -2x) Combine like terms: -8 + -10 = -18 -18 + 6x = 5(6 + -2x) -18 + 6x = (6 * 5 + -2x * 5) -18 + 6x = (30 + -10x) Solving -18 + 6x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -18 + 6x + 10x = 30 + -10x + 10x Combine like terms: 6x + 10x = 16x -18 + 16x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + 16x = 30 + 0 -18 + 16x = 30 Add '18' to each side of the equation. -18 + 18 + 16x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 16x = 30 + 18 16x = 30 + 18 Combine like terms: 30 + 18 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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