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Simplifying -3(2x + 4) + -4 = -2(x + 5) + 3x Reorder the terms: -3(4 + 2x) + -4 = -2(x + 5) + 3x (4 * -3 + 2x * -3) + -4 = -2(x + 5) + 3x (-12 + -6x) + -4 = -2(x + 5) + 3x Reorder the terms: -12 + -4 + -6x = -2(x + 5) + 3x Combine like terms: -12 + -4 = -16 -16 + -6x = -2(x + 5) + 3x Reorder the terms: -16 + -6x = -2(5 + x) + 3x -16 + -6x = (5 * -2 + x * -2) + 3x -16 + -6x = (-10 + -2x) + 3x Combine like terms: -2x + 3x = 1x -16 + -6x = -10 + 1x Solving -16 + -6x = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + -6x + -1x = -10 + 1x + -1x Combine like terms: -6x + -1x = -7x -16 + -7x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 -16 + -7x = -10 + 0 -16 + -7x = -10 Add '16' to each side of the equation. -16 + 16 + -7x = -10 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = -10 + 16 -7x = -10 + 16 Combine like terms: -10 + 16 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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