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Simplifying 3[2x + -1(x + 7)] = 5(x + 1) Reorder the terms: 3[2x + -1(7 + x)] = 5(x + 1) 3[2x + (7 * -1 + x * -1)] = 5(x + 1) 3[2x + (-7 + -1x)] = 5(x + 1) Reorder the terms: 3[-7 + 2x + -1x] = 5(x + 1) Combine like terms: 2x + -1x = 1x 3[-7 + 1x] = 5(x + 1) [-7 * 3 + 1x * 3] = 5(x + 1) [-21 + 3x] = 5(x + 1) Reorder the terms: -21 + 3x = 5(1 + x) -21 + 3x = (1 * 5 + x * 5) -21 + 3x = (5 + 5x) Solving -21 + 3x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + 3x + -5x = 5 + 5x + -5x Combine like terms: 3x + -5x = -2x -21 + -2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -2x = 5 + 0 -21 + -2x = 5 Add '21' to each side of the equation. -21 + 21 + -2x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = 5 + 21 -2x = 5 + 21 Combine like terms: 5 + 21 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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