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Simplifying 4(5 + -2(3 + -3x) + 5) = 10x + 9 4(5 + (3 * -2 + -3x * -2) + 5) = 10x + 9 4(5 + (-6 + 6x) + 5) = 10x + 9 Reorder the terms: 4(5 + -6 + 5 + 6x) = 10x + 9 Combine like terms: 5 + -6 = -1 4(-1 + 5 + 6x) = 10x + 9 Combine like terms: -1 + 5 = 4 4(4 + 6x) = 10x + 9 (4 * 4 + 6x * 4) = 10x + 9 (16 + 24x) = 10x + 9 Reorder the terms: 16 + 24x = 9 + 10x Solving 16 + 24x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 16 + 24x + -10x = 9 + 10x + -10x Combine like terms: 24x + -10x = 14x 16 + 14x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + 14x = 9 + 0 16 + 14x = 9 Add '-16' to each side of the equation. 16 + -16 + 14x = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = 9 + -16 14x = 9 + -16 Combine like terms: 9 + -16 = -7 14x = -7 Divide each side by '14'. x = -0.5 Simplifying x = -0.5
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