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Simplifying 5(3x + -2) = 7(x + 2) + 18 Reorder the terms: 5(-2 + 3x) = 7(x + 2) + 18 (-2 * 5 + 3x * 5) = 7(x + 2) + 18 (-10 + 15x) = 7(x + 2) + 18 Reorder the terms: -10 + 15x = 7(2 + x) + 18 -10 + 15x = (2 * 7 + x * 7) + 18 -10 + 15x = (14 + 7x) + 18 Reorder the terms: -10 + 15x = 14 + 18 + 7x Combine like terms: 14 + 18 = 32 -10 + 15x = 32 + 7x Solving -10 + 15x = 32 + 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. -10 + 15x + -7x = 32 + 7x + -7x Combine like terms: 15x + -7x = 8x -10 + 8x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 8x = 32 + 0 -10 + 8x = 32 Add '10' to each side of the equation. -10 + 10 + 8x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 32 + 10 8x = 32 + 10 Combine like terms: 32 + 10 = 42 8x = 42 Divide each side by '8'. x = 5.25 Simplifying x = 5.25
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