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Simplifying 6(3x + -4) + 10 = 5(x + -2) + -1(3x + 4) Reorder the terms: 6(-4 + 3x) + 10 = 5(x + -2) + -1(3x + 4) (-4 * 6 + 3x * 6) + 10 = 5(x + -2) + -1(3x + 4) (-24 + 18x) + 10 = 5(x + -2) + -1(3x + 4) Reorder the terms: -24 + 10 + 18x = 5(x + -2) + -1(3x + 4) Combine like terms: -24 + 10 = -14 -14 + 18x = 5(x + -2) + -1(3x + 4) Reorder the terms: -14 + 18x = 5(-2 + x) + -1(3x + 4) -14 + 18x = (-2 * 5 + x * 5) + -1(3x + 4) -14 + 18x = (-10 + 5x) + -1(3x + 4) Reorder the terms: -14 + 18x = -10 + 5x + -1(4 + 3x) -14 + 18x = -10 + 5x + (4 * -1 + 3x * -1) -14 + 18x = -10 + 5x + (-4 + -3x) Reorder the terms: -14 + 18x = -10 + -4 + 5x + -3x Combine like terms: -10 + -4 = -14 -14 + 18x = -14 + 5x + -3x Combine like terms: 5x + -3x = 2x -14 + 18x = -14 + 2x Add '14' to each side of the equation. -14 + 14 + 18x = -14 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + 18x = -14 + 14 + 2x 18x = -14 + 14 + 2x Combine like terms: -14 + 14 = 0 18x = 0 + 2x 18x = 2x Solving 18x = 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. 18x + -2x = 2x + -2x Combine like terms: 18x + -2x = 16x 16x = 2x + -2x Combine like terms: 2x + -2x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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