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Simplifying 5(x + -2) + -1(3x + 4) = 3(6x + -8) + 10 Reorder the terms: 5(-2 + x) + -1(3x + 4) = 3(6x + -8) + 10 (-2 * 5 + x * 5) + -1(3x + 4) = 3(6x + -8) + 10 (-10 + 5x) + -1(3x + 4) = 3(6x + -8) + 10 Reorder the terms: -10 + 5x + -1(4 + 3x) = 3(6x + -8) + 10 -10 + 5x + (4 * -1 + 3x * -1) = 3(6x + -8) + 10 -10 + 5x + (-4 + -3x) = 3(6x + -8) + 10 Reorder the terms: -10 + -4 + 5x + -3x = 3(6x + -8) + 10 Combine like terms: -10 + -4 = -14 -14 + 5x + -3x = 3(6x + -8) + 10 Combine like terms: 5x + -3x = 2x -14 + 2x = 3(6x + -8) + 10 Reorder the terms: -14 + 2x = 3(-8 + 6x) + 10 -14 + 2x = (-8 * 3 + 6x * 3) + 10 -14 + 2x = (-24 + 18x) + 10 Reorder the terms: -14 + 2x = -24 + 10 + 18x Combine like terms: -24 + 10 = -14 -14 + 2x = -14 + 18x Add '14' to each side of the equation. -14 + 14 + 2x = -14 + 14 + 18x Combine like terms: -14 + 14 = 0 0 + 2x = -14 + 14 + 18x 2x = -14 + 14 + 18x Combine like terms: -14 + 14 = 0 2x = 0 + 18x 2x = 18x Solving 2x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2x + -18x = 18x + -18x Combine like terms: 2x + -18x = -16x -16x = 18x + -18x Combine like terms: 18x + -18x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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