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Simplifying 5(6 + 8x) + -7x = 30 + -7x (6 * 5 + 8x * 5) + -7x = 30 + -7x (30 + 40x) + -7x = 30 + -7x Combine like terms: 40x + -7x = 33x 30 + 33x = 30 + -7x Add '-30' to each side of the equation. 30 + -30 + 33x = 30 + -30 + -7x Combine like terms: 30 + -30 = 0 0 + 33x = 30 + -30 + -7x 33x = 30 + -30 + -7x Combine like terms: 30 + -30 = 0 33x = 0 + -7x 33x = -7x Solving 33x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 33x + 7x = -7x + 7x Combine like terms: 33x + 7x = 40x 40x = -7x + 7x Combine like terms: -7x + 7x = 0 40x = 0 Divide each side by '40'. x = 0.0 Simplifying x = 0.0
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