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Simplifying 9x(-5 + 3) + 8x(2 + 2) = 3(5x + 2) Combine like terms: -5 + 3 = -2 9x(-2) + 8x(2 + 2) = 3(5x + 2) Reorder the terms for easier multiplication: 9 * -2x + 8x(2 + 2) = 3(5x + 2) Multiply 9 * -2 -18x + 8x(2 + 2) = 3(5x + 2) Combine like terms: 2 + 2 = 4 -18x + 8x(4) = 3(5x + 2) Reorder the terms for easier multiplication: -18x + 8 * 4x = 3(5x + 2) Multiply 8 * 4 -18x + 32x = 3(5x + 2) Combine like terms: -18x + 32x = 14x 14x = 3(5x + 2) Reorder the terms: 14x = 3(2 + 5x) 14x = (2 * 3 + 5x * 3) 14x = (6 + 15x) Solving 14x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 14x + -15x = 6 + 15x + -15x Combine like terms: 14x + -15x = -1x -1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 -1x = 6 + 0 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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