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Simplifying x + 4 = 3(x + -1) + 78 Reorder the terms: 4 + x = 3(x + -1) + 78 Reorder the terms: 4 + x = 3(-1 + x) + 78 4 + x = (-1 * 3 + x * 3) + 78 4 + x = (-3 + 3x) + 78 Reorder the terms: 4 + x = -3 + 78 + 3x Combine like terms: -3 + 78 = 75 4 + x = 75 + 3x Solving 4 + x = 75 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + x + -3x = 75 + 3x + -3x Combine like terms: x + -3x = -2x 4 + -2x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -2x = 75 + 0 4 + -2x = 75 Add '-4' to each side of the equation. 4 + -4 + -2x = 75 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 75 + -4 -2x = 75 + -4 Combine like terms: 75 + -4 = 71 -2x = 71 Divide each side by '-2'. x = -35.5 Simplifying x = -35.5
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