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Simplifying -2(4x + 5) + -2 = -3(x + 3) + 2x Reorder the terms: -2(5 + 4x) + -2 = -3(x + 3) + 2x (5 * -2 + 4x * -2) + -2 = -3(x + 3) + 2x (-10 + -8x) + -2 = -3(x + 3) + 2x Reorder the terms: -10 + -2 + -8x = -3(x + 3) + 2x Combine like terms: -10 + -2 = -12 -12 + -8x = -3(x + 3) + 2x Reorder the terms: -12 + -8x = -3(3 + x) + 2x -12 + -8x = (3 * -3 + x * -3) + 2x -12 + -8x = (-9 + -3x) + 2x Combine like terms: -3x + 2x = -1x -12 + -8x = -9 + -1x Solving -12 + -8x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + -8x + x = -9 + -1x + x Combine like terms: -8x + x = -7x -12 + -7x = -9 + -1x + x Combine like terms: -1x + x = 0 -12 + -7x = -9 + 0 -12 + -7x = -9 Add '12' to each side of the equation. -12 + 12 + -7x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -9 + 12 -7x = -9 + 12 Combine like terms: -9 + 12 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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