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Simplifying 12(x + -5) + 28 = 4(x + -22) Reorder the terms: 12(-5 + x) + 28 = 4(x + -22) (-5 * 12 + x * 12) + 28 = 4(x + -22) (-60 + 12x) + 28 = 4(x + -22) Reorder the terms: -60 + 28 + 12x = 4(x + -22) Combine like terms: -60 + 28 = -32 -32 + 12x = 4(x + -22) Reorder the terms: -32 + 12x = 4(-22 + x) -32 + 12x = (-22 * 4 + x * 4) -32 + 12x = (-88 + 4x) Solving -32 + 12x = -88 + 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. -32 + 12x + -4x = -88 + 4x + -4x Combine like terms: 12x + -4x = 8x -32 + 8x = -88 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 8x = -88 + 0 -32 + 8x = -88 Add '32' to each side of the equation. -32 + 32 + 8x = -88 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = -88 + 32 8x = -88 + 32 Combine like terms: -88 + 32 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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