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Simplifying 3(5x + -8) + 53 = 7x + 9 Reorder the terms: 3(-8 + 5x) + 53 = 7x + 9 (-8 * 3 + 5x * 3) + 53 = 7x + 9 (-24 + 15x) + 53 = 7x + 9 Reorder the terms: -24 + 53 + 15x = 7x + 9 Combine like terms: -24 + 53 = 29 29 + 15x = 7x + 9 Reorder the terms: 29 + 15x = 9 + 7x Solving 29 + 15x = 9 + 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. 29 + 15x + -7x = 9 + 7x + -7x Combine like terms: 15x + -7x = 8x 29 + 8x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + 8x = 9 + 0 29 + 8x = 9 Add '-29' to each side of the equation. 29 + -29 + 8x = 9 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = 9 + -29 8x = 9 + -29 Combine like terms: 9 + -29 = -20 8x = -20 Divide each side by '8'. x = -2.5 Simplifying x = -2.5
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