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Simplifying 3x + 5(5 + -1x) + 4(2x + 1) = -7(3x + 2) + 145 3x + (5 * 5 + -1x * 5) + 4(2x + 1) = -7(3x + 2) + 145 3x + (25 + -5x) + 4(2x + 1) = -7(3x + 2) + 145 Reorder the terms: 3x + 25 + -5x + 4(1 + 2x) = -7(3x + 2) + 145 3x + 25 + -5x + (1 * 4 + 2x * 4) = -7(3x + 2) + 145 3x + 25 + -5x + (4 + 8x) = -7(3x + 2) + 145 Reorder the terms: 25 + 4 + 3x + -5x + 8x = -7(3x + 2) + 145 Combine like terms: 25 + 4 = 29 29 + 3x + -5x + 8x = -7(3x + 2) + 145 Combine like terms: 3x + -5x = -2x 29 + -2x + 8x = -7(3x + 2) + 145 Combine like terms: -2x + 8x = 6x 29 + 6x = -7(3x + 2) + 145 Reorder the terms: 29 + 6x = -7(2 + 3x) + 145 29 + 6x = (2 * -7 + 3x * -7) + 145 29 + 6x = (-14 + -21x) + 145 Reorder the terms: 29 + 6x = -14 + 145 + -21x Combine like terms: -14 + 145 = 131 29 + 6x = 131 + -21x Solving 29 + 6x = 131 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 29 + 6x + 21x = 131 + -21x + 21x Combine like terms: 6x + 21x = 27x 29 + 27x = 131 + -21x + 21x Combine like terms: -21x + 21x = 0 29 + 27x = 131 + 0 29 + 27x = 131 Add '-29' to each side of the equation. 29 + -29 + 27x = 131 + -29 Combine like terms: 29 + -29 = 0 0 + 27x = 131 + -29 27x = 131 + -29 Combine like terms: 131 + -29 = 102 27x = 102 Divide each side by '27'. x = 3.777777778 Simplifying x = 3.777777778
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