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Simplifying 4(x + -7) + -1(x + 1) = 15 + -1x Reorder the terms: 4(-7 + x) + -1(x + 1) = 15 + -1x (-7 * 4 + x * 4) + -1(x + 1) = 15 + -1x (-28 + 4x) + -1(x + 1) = 15 + -1x Reorder the terms: -28 + 4x + -1(1 + x) = 15 + -1x -28 + 4x + (1 * -1 + x * -1) = 15 + -1x -28 + 4x + (-1 + -1x) = 15 + -1x Reorder the terms: -28 + -1 + 4x + -1x = 15 + -1x Combine like terms: -28 + -1 = -29 -29 + 4x + -1x = 15 + -1x Combine like terms: 4x + -1x = 3x -29 + 3x = 15 + -1x Solving -29 + 3x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -29 + 3x + x = 15 + -1x + x Combine like terms: 3x + x = 4x -29 + 4x = 15 + -1x + x Combine like terms: -1x + x = 0 -29 + 4x = 15 + 0 -29 + 4x = 15 Add '29' to each side of the equation. -29 + 29 + 4x = 15 + 29 Combine like terms: -29 + 29 = 0 0 + 4x = 15 + 29 4x = 15 + 29 Combine like terms: 15 + 29 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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