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Simplifying 3(x + -4) + -1(8x + -7) = 2x + 5 Reorder the terms: 3(-4 + x) + -1(8x + -7) = 2x + 5 (-4 * 3 + x * 3) + -1(8x + -7) = 2x + 5 (-12 + 3x) + -1(8x + -7) = 2x + 5 Reorder the terms: -12 + 3x + -1(-7 + 8x) = 2x + 5 -12 + 3x + (-7 * -1 + 8x * -1) = 2x + 5 -12 + 3x + (7 + -8x) = 2x + 5 Reorder the terms: -12 + 7 + 3x + -8x = 2x + 5 Combine like terms: -12 + 7 = -5 -5 + 3x + -8x = 2x + 5 Combine like terms: 3x + -8x = -5x -5 + -5x = 2x + 5 Reorder the terms: -5 + -5x = 5 + 2x Solving -5 + -5x = 5 + 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. -5 + -5x + -2x = 5 + 2x + -2x Combine like terms: -5x + -2x = -7x -5 + -7x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -7x = 5 + 0 -5 + -7x = 5 Add '5' to each side of the equation. -5 + 5 + -7x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 5 + 5 -7x = 5 + 5 Combine like terms: 5 + 5 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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