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Simplifying 3x + 4 = 11 + 4(x + -1) Reorder the terms: 4 + 3x = 11 + 4(x + -1) Reorder the terms: 4 + 3x = 11 + 4(-1 + x) 4 + 3x = 11 + (-1 * 4 + x * 4) 4 + 3x = 11 + (-4 + 4x) Combine like terms: 11 + -4 = 7 4 + 3x = 7 + 4x Solving 4 + 3x = 7 + 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. 4 + 3x + -4x = 7 + 4x + -4x Combine like terms: 3x + -4x = -1x 4 + -1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = 7 + 0 4 + -1x = 7 Add '-4' to each side of the equation. 4 + -4 + -1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 7 + -4 -1x = 7 + -4 Combine like terms: 7 + -4 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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