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Simplifying 5(0.33x + 7) + -3(0.5x + -4) = 0 Reorder the terms: 5(7 + 0.33x) + -3(0.5x + -4) = 0 (7 * 5 + 0.33x * 5) + -3(0.5x + -4) = 0 (35 + 1.65x) + -3(0.5x + -4) = 0 Reorder the terms: 35 + 1.65x + -3(-4 + 0.5x) = 0 35 + 1.65x + (-4 * -3 + 0.5x * -3) = 0 35 + 1.65x + (12 + -1.5x) = 0 Reorder the terms: 35 + 12 + 1.65x + -1.5x = 0 Combine like terms: 35 + 12 = 47 47 + 1.65x + -1.5x = 0 Combine like terms: 1.65x + -1.5x = 0.15x 47 + 0.15x = 0 Solving 47 + 0.15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 0.15x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 0.15x = 0 + -47 0.15x = 0 + -47 Combine like terms: 0 + -47 = -47 0.15x = -47 Divide each side by '0.15'. x = -313.3333333 Simplifying x = -313.3333333
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