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Simplifying 7(3x + 2) + -5(4x + -3) = (4x + -2) + 2 Reorder the terms: 7(2 + 3x) + -5(4x + -3) = (4x + -2) + 2 (2 * 7 + 3x * 7) + -5(4x + -3) = (4x + -2) + 2 (14 + 21x) + -5(4x + -3) = (4x + -2) + 2 Reorder the terms: 14 + 21x + -5(-3 + 4x) = (4x + -2) + 2 14 + 21x + (-3 * -5 + 4x * -5) = (4x + -2) + 2 14 + 21x + (15 + -20x) = (4x + -2) + 2 Reorder the terms: 14 + 15 + 21x + -20x = (4x + -2) + 2 Combine like terms: 14 + 15 = 29 29 + 21x + -20x = (4x + -2) + 2 Combine like terms: 21x + -20x = 1x 29 + 1x = (4x + -2) + 2 Reorder the terms: 29 + 1x = (-2 + 4x) + 2 Remove parenthesis around (-2 + 4x) 29 + 1x = -2 + 4x + 2 Reorder the terms: 29 + 1x = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 29 + 1x = 0 + 4x 29 + 1x = 4x Solving 29 + 1x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 29 + 1x + -4x = 4x + -4x Combine like terms: 1x + -4x = -3x 29 + -3x = 4x + -4x Combine like terms: 4x + -4x = 0 29 + -3x = 0 Add '-29' to each side of the equation. 29 + -29 + -3x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -3x = 0 + -29 -3x = 0 + -29 Combine like terms: 0 + -29 = -29 -3x = -29 Divide each side by '-3'. x = 9.666666667 Simplifying x = 9.666666667
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