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Simplifying (x + -3) + -1(4x + 1) = -18 + -1x Reorder the terms: (-3 + x) + -1(4x + 1) = -18 + -1x Remove parenthesis around (-3 + x) -3 + x + -1(4x + 1) = -18 + -1x Reorder the terms: -3 + x + -1(1 + 4x) = -18 + -1x -3 + x + (1 * -1 + 4x * -1) = -18 + -1x -3 + x + (-1 + -4x) = -18 + -1x Reorder the terms: -3 + -1 + x + -4x = -18 + -1x Combine like terms: -3 + -1 = -4 -4 + x + -4x = -18 + -1x Combine like terms: x + -4x = -3x -4 + -3x = -18 + -1x Solving -4 + -3x = -18 + -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. -4 + -3x + x = -18 + -1x + x Combine like terms: -3x + x = -2x -4 + -2x = -18 + -1x + x Combine like terms: -1x + x = 0 -4 + -2x = -18 + 0 -4 + -2x = -18 Add '4' to each side of the equation. -4 + 4 + -2x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -18 + 4 -2x = -18 + 4 Combine like terms: -18 + 4 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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