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Simplifying 5(x + -2) + -1x = 6(x + 3) + -4x Reorder the terms: 5(-2 + x) + -1x = 6(x + 3) + -4x (-2 * 5 + x * 5) + -1x = 6(x + 3) + -4x (-10 + 5x) + -1x = 6(x + 3) + -4x Combine like terms: 5x + -1x = 4x -10 + 4x = 6(x + 3) + -4x Reorder the terms: -10 + 4x = 6(3 + x) + -4x -10 + 4x = (3 * 6 + x * 6) + -4x -10 + 4x = (18 + 6x) + -4x Combine like terms: 6x + -4x = 2x -10 + 4x = 18 + 2x Solving -10 + 4x = 18 + 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. -10 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x -10 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 2x = 18 + 0 -10 + 2x = 18 Add '10' to each side of the equation. -10 + 10 + 2x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 18 + 10 2x = 18 + 10 Combine like terms: 18 + 10 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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