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Simplifying 3(x + -4) + -4(2x + 3) = 2(x + 5) + 1 Reorder the terms: 3(-4 + x) + -4(2x + 3) = 2(x + 5) + 1 (-4 * 3 + x * 3) + -4(2x + 3) = 2(x + 5) + 1 (-12 + 3x) + -4(2x + 3) = 2(x + 5) + 1 Reorder the terms: -12 + 3x + -4(3 + 2x) = 2(x + 5) + 1 -12 + 3x + (3 * -4 + 2x * -4) = 2(x + 5) + 1 -12 + 3x + (-12 + -8x) = 2(x + 5) + 1 Reorder the terms: -12 + -12 + 3x + -8x = 2(x + 5) + 1 Combine like terms: -12 + -12 = -24 -24 + 3x + -8x = 2(x + 5) + 1 Combine like terms: 3x + -8x = -5x -24 + -5x = 2(x + 5) + 1 Reorder the terms: -24 + -5x = 2(5 + x) + 1 -24 + -5x = (5 * 2 + x * 2) + 1 -24 + -5x = (10 + 2x) + 1 Reorder the terms: -24 + -5x = 10 + 1 + 2x Combine like terms: 10 + 1 = 11 -24 + -5x = 11 + 2x Solving -24 + -5x = 11 + 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. -24 + -5x + -2x = 11 + 2x + -2x Combine like terms: -5x + -2x = -7x -24 + -7x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -7x = 11 + 0 -24 + -7x = 11 Add '24' to each side of the equation. -24 + 24 + -7x = 11 + 24 Combine like terms: -24 + 24 = 0 0 + -7x = 11 + 24 -7x = 11 + 24 Combine like terms: 11 + 24 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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