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Simplifying 4x + -1(3 + -1x) = 6(x + -3) + 10 4x + (3 * -1 + -1x * -1) = 6(x + -3) + 10 4x + (-3 + 1x) = 6(x + -3) + 10 Reorder the terms: -3 + 4x + 1x = 6(x + -3) + 10 Combine like terms: 4x + 1x = 5x -3 + 5x = 6(x + -3) + 10 Reorder the terms: -3 + 5x = 6(-3 + x) + 10 -3 + 5x = (-3 * 6 + x * 6) + 10 -3 + 5x = (-18 + 6x) + 10 Reorder the terms: -3 + 5x = -18 + 10 + 6x Combine like terms: -18 + 10 = -8 -3 + 5x = -8 + 6x Solving -3 + 5x = -8 + 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. -3 + 5x + -6x = -8 + 6x + -6x Combine like terms: 5x + -6x = -1x -3 + -1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -1x = -8 + 0 -3 + -1x = -8 Add '3' to each side of the equation. -3 + 3 + -1x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -8 + 3 -1x = -8 + 3 Combine like terms: -8 + 3 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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