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Simplifying (3x + -4) + -1(x + -1) + (2x + -15) = 3x + -7 Reorder the terms: (-4 + 3x) + -1(x + -1) + (2x + -15) = 3x + -7 Remove parenthesis around (-4 + 3x) -4 + 3x + -1(x + -1) + (2x + -15) = 3x + -7 Reorder the terms: -4 + 3x + -1(-1 + x) + (2x + -15) = 3x + -7 -4 + 3x + (-1 * -1 + x * -1) + (2x + -15) = 3x + -7 -4 + 3x + (1 + -1x) + (2x + -15) = 3x + -7 Reorder the terms: -4 + 3x + 1 + -1x + (-15 + 2x) = 3x + -7 Remove parenthesis around (-15 + 2x) -4 + 3x + 1 + -1x + -15 + 2x = 3x + -7 Reorder the terms: -4 + 1 + -15 + 3x + -1x + 2x = 3x + -7 Combine like terms: -4 + 1 = -3 -3 + -15 + 3x + -1x + 2x = 3x + -7 Combine like terms: -3 + -15 = -18 -18 + 3x + -1x + 2x = 3x + -7 Combine like terms: 3x + -1x = 2x -18 + 2x + 2x = 3x + -7 Combine like terms: 2x + 2x = 4x -18 + 4x = 3x + -7 Reorder the terms: -18 + 4x = -7 + 3x Solving -18 + 4x = -7 + 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. -18 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -18 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 1x = -7 + 0 -18 + 1x = -7 Add '18' to each side of the equation. -18 + 18 + 1x = -7 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -7 + 18 1x = -7 + 18 Combine like terms: -7 + 18 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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