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Simplifying -1(x + 30) + -2 = 3(2x + -4) Reorder the terms: -1(30 + x) + -2 = 3(2x + -4) (30 * -1 + x * -1) + -2 = 3(2x + -4) (-30 + -1x) + -2 = 3(2x + -4) Reorder the terms: -30 + -2 + -1x = 3(2x + -4) Combine like terms: -30 + -2 = -32 -32 + -1x = 3(2x + -4) Reorder the terms: -32 + -1x = 3(-4 + 2x) -32 + -1x = (-4 * 3 + 2x * 3) -32 + -1x = (-12 + 6x) Solving -32 + -1x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + -1x + -6x = -12 + 6x + -6x Combine like terms: -1x + -6x = -7x -32 + -7x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -7x = -12 + 0 -32 + -7x = -12 Add '32' to each side of the equation. -32 + 32 + -7x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = -12 + 32 -7x = -12 + 32 Combine like terms: -12 + 32 = 20 -7x = 20 Divide each side by '-7'. x = -2.857142857 Simplifying x = -2.857142857
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