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Simplifying 3(x + -1) + -1(3x + 5) = 4(6x + 1) Reorder the terms: 3(-1 + x) + -1(3x + 5) = 4(6x + 1) (-1 * 3 + x * 3) + -1(3x + 5) = 4(6x + 1) (-3 + 3x) + -1(3x + 5) = 4(6x + 1) Reorder the terms: -3 + 3x + -1(5 + 3x) = 4(6x + 1) -3 + 3x + (5 * -1 + 3x * -1) = 4(6x + 1) -3 + 3x + (-5 + -3x) = 4(6x + 1) Reorder the terms: -3 + -5 + 3x + -3x = 4(6x + 1) Combine like terms: -3 + -5 = -8 -8 + 3x + -3x = 4(6x + 1) Combine like terms: 3x + -3x = 0 -8 + 0 = 4(6x + 1) -8 = 4(6x + 1) Reorder the terms: -8 = 4(1 + 6x) -8 = (1 * 4 + 6x * 4) -8 = (4 + 24x) Solving -8 = 4 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -8 + -24x = 4 + 24x + -24x Combine like terms: 24x + -24x = 0 -8 + -24x = 4 + 0 -8 + -24x = 4 Add '8' to each side of the equation. -8 + 8 + -24x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -24x = 4 + 8 -24x = 4 + 8 Combine like terms: 4 + 8 = 12 -24x = 12 Divide each side by '-24'. x = -0.5 Simplifying x = -0.5
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