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Simplifying 3(x + 5) + -1x = 11 + 4(x + -1) Reorder the terms: 3(5 + x) + -1x = 11 + 4(x + -1) (5 * 3 + x * 3) + -1x = 11 + 4(x + -1) (15 + 3x) + -1x = 11 + 4(x + -1) Combine like terms: 3x + -1x = 2x 15 + 2x = 11 + 4(x + -1) Reorder the terms: 15 + 2x = 11 + 4(-1 + x) 15 + 2x = 11 + (-1 * 4 + x * 4) 15 + 2x = 11 + (-4 + 4x) Combine like terms: 11 + -4 = 7 15 + 2x = 7 + 4x Solving 15 + 2x = 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. 15 + 2x + -4x = 7 + 4x + -4x Combine like terms: 2x + -4x = -2x 15 + -2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -2x = 7 + 0 15 + -2x = 7 Add '-15' to each side of the equation. 15 + -15 + -2x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 7 + -15 -2x = 7 + -15 Combine like terms: 7 + -15 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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