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Simplifying 7(3 + 2x) + -5(7x + 4) = 2x + -3 (3 * 7 + 2x * 7) + -5(7x + 4) = 2x + -3 (21 + 14x) + -5(7x + 4) = 2x + -3 Reorder the terms: 21 + 14x + -5(4 + 7x) = 2x + -3 21 + 14x + (4 * -5 + 7x * -5) = 2x + -3 21 + 14x + (-20 + -35x) = 2x + -3 Reorder the terms: 21 + -20 + 14x + -35x = 2x + -3 Combine like terms: 21 + -20 = 1 1 + 14x + -35x = 2x + -3 Combine like terms: 14x + -35x = -21x 1 + -21x = 2x + -3 Reorder the terms: 1 + -21x = -3 + 2x Solving 1 + -21x = -3 + 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. 1 + -21x + -2x = -3 + 2x + -2x Combine like terms: -21x + -2x = -23x 1 + -23x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -23x = -3 + 0 1 + -23x = -3 Add '-1' to each side of the equation. 1 + -1 + -23x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -23x = -3 + -1 -23x = -3 + -1 Combine like terms: -3 + -1 = -4 -23x = -4 Divide each side by '-23'. x = 0.1739130435 Simplifying x = 0.1739130435
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