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Simplifying 3(4x + -0.5) = 5(3x + 1) Reorder the terms: 3(-0.5 + 4x) = 5(3x + 1) (-0.5 * 3 + 4x * 3) = 5(3x + 1) (-1.5 + 12x) = 5(3x + 1) Reorder the terms: -1.5 + 12x = 5(1 + 3x) -1.5 + 12x = (1 * 5 + 3x * 5) -1.5 + 12x = (5 + 15x) Solving -1.5 + 12x = 5 + 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. -1.5 + 12x + -15x = 5 + 15x + -15x Combine like terms: 12x + -15x = -3x -1.5 + -3x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -1.5 + -3x = 5 + 0 -1.5 + -3x = 5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -3x = 5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3x = 5 + 1.5 -3x = 5 + 1.5 Combine like terms: 5 + 1.5 = 6.5 -3x = 6.5 Divide each side by '-3'. x = -2.166666667 Simplifying x = -2.166666667
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