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Simplifying -4x + -30 = 4(x + -1) + -10 Reorder the terms: -30 + -4x = 4(x + -1) + -10 Reorder the terms: -30 + -4x = 4(-1 + x) + -10 -30 + -4x = (-1 * 4 + x * 4) + -10 -30 + -4x = (-4 + 4x) + -10 Reorder the terms: -30 + -4x = -4 + -10 + 4x Combine like terms: -4 + -10 = -14 -30 + -4x = -14 + 4x Solving -30 + -4x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -30 + -4x + -4x = -14 + 4x + -4x Combine like terms: -4x + -4x = -8x -30 + -8x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -8x = -14 + 0 -30 + -8x = -14 Add '30' to each side of the equation. -30 + 30 + -8x = -14 + 30 Combine like terms: -30 + 30 = 0 0 + -8x = -14 + 30 -8x = -14 + 30 Combine like terms: -14 + 30 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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