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Simplifying 7(x + 5) + -33.8 = 3(2x + 3) Reorder the terms: 7(5 + x) + -33.8 = 3(2x + 3) (5 * 7 + x * 7) + -33.8 = 3(2x + 3) (35 + 7x) + -33.8 = 3(2x + 3) Reorder the terms: 35 + -33.8 + 7x = 3(2x + 3) Combine like terms: 35 + -33.8 = 1.2 1.2 + 7x = 3(2x + 3) Reorder the terms: 1.2 + 7x = 3(3 + 2x) 1.2 + 7x = (3 * 3 + 2x * 3) 1.2 + 7x = (9 + 6x) Solving 1.2 + 7x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1.2 + 7x + -6x = 9 + 6x + -6x Combine like terms: 7x + -6x = 1x 1.2 + 1x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 1.2 + 1x = 9 + 0 1.2 + 1x = 9 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 1x = 9 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 1x = 9 + -1.2 1x = 9 + -1.2 Combine like terms: 9 + -1.2 = 7.8 1x = 7.8 Divide each side by '1'. x = 7.8 Simplifying x = 7.8
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