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Simplifying 33 + 6x = -5(8x + -7) Reorder the terms: 33 + 6x = -5(-7 + 8x) 33 + 6x = (-7 * -5 + 8x * -5) 33 + 6x = (35 + -40x) Solving 33 + 6x = 35 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 33 + 6x + 40x = 35 + -40x + 40x Combine like terms: 6x + 40x = 46x 33 + 46x = 35 + -40x + 40x Combine like terms: -40x + 40x = 0 33 + 46x = 35 + 0 33 + 46x = 35 Add '-33' to each side of the equation. 33 + -33 + 46x = 35 + -33 Combine like terms: 33 + -33 = 0 0 + 46x = 35 + -33 46x = 35 + -33 Combine like terms: 35 + -33 = 2 46x = 2 Divide each side by '46'. x = 0.04347826087 Simplifying x = 0.04347826087
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