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Simplifying -8(x + -3) + 12 = 4x + -114 Reorder the terms: -8(-3 + x) + 12 = 4x + -114 (-3 * -8 + x * -8) + 12 = 4x + -114 (24 + -8x) + 12 = 4x + -114 Reorder the terms: 24 + 12 + -8x = 4x + -114 Combine like terms: 24 + 12 = 36 36 + -8x = 4x + -114 Reorder the terms: 36 + -8x = -114 + 4x Solving 36 + -8x = -114 + 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. 36 + -8x + -4x = -114 + 4x + -4x Combine like terms: -8x + -4x = -12x 36 + -12x = -114 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + -12x = -114 + 0 36 + -12x = -114 Add '-36' to each side of the equation. 36 + -36 + -12x = -114 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = -114 + -36 -12x = -114 + -36 Combine like terms: -114 + -36 = -150 -12x = -150 Divide each side by '-12'. x = 12.5 Simplifying x = 12.5
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