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Simplifying 3(x + 1) + -10 + -4 = (2x + -3) + 14 Reorder the terms: 3(1 + x) + -10 + -4 = (2x + -3) + 14 (1 * 3 + x * 3) + -10 + -4 = (2x + -3) + 14 (3 + 3x) + -10 + -4 = (2x + -3) + 14 Reorder the terms: 3 + -10 + -4 + 3x = (2x + -3) + 14 Combine like terms: 3 + -10 = -7 -7 + -4 + 3x = (2x + -3) + 14 Combine like terms: -7 + -4 = -11 -11 + 3x = (2x + -3) + 14 Reorder the terms: -11 + 3x = (-3 + 2x) + 14 Remove parenthesis around (-3 + 2x) -11 + 3x = -3 + 2x + 14 Reorder the terms: -11 + 3x = -3 + 14 + 2x Combine like terms: -3 + 14 = 11 -11 + 3x = 11 + 2x Solving -11 + 3x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -11 + 3x + -2x = 11 + 2x + -2x Combine like terms: 3x + -2x = 1x -11 + 1x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 1x = 11 + 0 -11 + 1x = 11 Add '11' to each side of the equation. -11 + 11 + 1x = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 11 + 11 1x = 11 + 11 Combine like terms: 11 + 11 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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