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Simplifying 6(3x + -1) = 5x + -3(x + -4) Reorder the terms: 6(-1 + 3x) = 5x + -3(x + -4) (-1 * 6 + 3x * 6) = 5x + -3(x + -4) (-6 + 18x) = 5x + -3(x + -4) Reorder the terms: -6 + 18x = 5x + -3(-4 + x) -6 + 18x = 5x + (-4 * -3 + x * -3) -6 + 18x = 5x + (12 + -3x) Reorder the terms: -6 + 18x = 12 + 5x + -3x Combine like terms: 5x + -3x = 2x -6 + 18x = 12 + 2x Solving -6 + 18x = 12 + 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. -6 + 18x + -2x = 12 + 2x + -2x Combine like terms: 18x + -2x = 16x -6 + 16x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 16x = 12 + 0 -6 + 16x = 12 Add '6' to each side of the equation. -6 + 6 + 16x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 12 + 6 16x = 12 + 6 Combine like terms: 12 + 6 = 18 16x = 18 Divide each side by '16'. x = 1.125 Simplifying x = 1.125
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