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Simplifying -4(3x + 4) + -2 = -2(x + 5) + 5x Reorder the terms: -4(4 + 3x) + -2 = -2(x + 5) + 5x (4 * -4 + 3x * -4) + -2 = -2(x + 5) + 5x (-16 + -12x) + -2 = -2(x + 5) + 5x Reorder the terms: -16 + -2 + -12x = -2(x + 5) + 5x Combine like terms: -16 + -2 = -18 -18 + -12x = -2(x + 5) + 5x Reorder the terms: -18 + -12x = -2(5 + x) + 5x -18 + -12x = (5 * -2 + x * -2) + 5x -18 + -12x = (-10 + -2x) + 5x Combine like terms: -2x + 5x = 3x -18 + -12x = -10 + 3x Solving -18 + -12x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + -12x + -3x = -10 + 3x + -3x Combine like terms: -12x + -3x = -15x -18 + -15x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -15x = -10 + 0 -18 + -15x = -10 Add '18' to each side of the equation. -18 + 18 + -15x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -15x = -10 + 18 -15x = -10 + 18 Combine like terms: -10 + 18 = 8 -15x = 8 Divide each side by '-15'. x = -0.5333333333 Simplifying x = -0.5333333333
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