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Simplifying 3(x + -5) + 7 = 12 + 4x Reorder the terms: 3(-5 + x) + 7 = 12 + 4x (-5 * 3 + x * 3) + 7 = 12 + 4x (-15 + 3x) + 7 = 12 + 4x Reorder the terms: -15 + 7 + 3x = 12 + 4x Combine like terms: -15 + 7 = -8 -8 + 3x = 12 + 4x Solving -8 + 3x = 12 + 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. -8 + 3x + -4x = 12 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = 12 + 0 -8 + -1x = 12 Add '8' to each side of the equation. -8 + 8 + -1x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 12 + 8 -1x = 12 + 8 Combine like terms: 12 + 8 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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