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Simplifying 3(x + -4) = 8 + -5(3x + 1) Reorder the terms: 3(-4 + x) = 8 + -5(3x + 1) (-4 * 3 + x * 3) = 8 + -5(3x + 1) (-12 + 3x) = 8 + -5(3x + 1) Reorder the terms: -12 + 3x = 8 + -5(1 + 3x) -12 + 3x = 8 + (1 * -5 + 3x * -5) -12 + 3x = 8 + (-5 + -15x) Combine like terms: 8 + -5 = 3 -12 + 3x = 3 + -15x Solving -12 + 3x = 3 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -12 + 3x + 15x = 3 + -15x + 15x Combine like terms: 3x + 15x = 18x -12 + 18x = 3 + -15x + 15x Combine like terms: -15x + 15x = 0 -12 + 18x = 3 + 0 -12 + 18x = 3 Add '12' to each side of the equation. -12 + 12 + 18x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 3 + 12 18x = 3 + 12 Combine like terms: 3 + 12 = 15 18x = 15 Divide each side by '18'. x = 0.8333333333 Simplifying x = 0.8333333333
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