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Simplifying 3(x + -4) = 5(2x + 1) Reorder the terms: 3(-4 + x) = 5(2x + 1) (-4 * 3 + x * 3) = 5(2x + 1) (-12 + 3x) = 5(2x + 1) Reorder the terms: -12 + 3x = 5(1 + 2x) -12 + 3x = (1 * 5 + 2x * 5) -12 + 3x = (5 + 10x) Solving -12 + 3x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 3x + -10x = 5 + 10x + -10x Combine like terms: 3x + -10x = -7x -12 + -7x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -7x = 5 + 0 -12 + -7x = 5 Add '12' to each side of the equation. -12 + 12 + -7x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 5 + 12 -7x = 5 + 12 Combine like terms: 5 + 12 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429
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