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Simplifying 3(x + 3) + -2(x + -5) = 6x + 10 Reorder the terms: 3(3 + x) + -2(x + -5) = 6x + 10 (3 * 3 + x * 3) + -2(x + -5) = 6x + 10 (9 + 3x) + -2(x + -5) = 6x + 10 Reorder the terms: 9 + 3x + -2(-5 + x) = 6x + 10 9 + 3x + (-5 * -2 + x * -2) = 6x + 10 9 + 3x + (10 + -2x) = 6x + 10 Reorder the terms: 9 + 10 + 3x + -2x = 6x + 10 Combine like terms: 9 + 10 = 19 19 + 3x + -2x = 6x + 10 Combine like terms: 3x + -2x = 1x 19 + 1x = 6x + 10 Reorder the terms: 19 + 1x = 10 + 6x Solving 19 + 1x = 10 + 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. 19 + 1x + -6x = 10 + 6x + -6x Combine like terms: 1x + -6x = -5x 19 + -5x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + -5x = 10 + 0 19 + -5x = 10 Add '-19' to each side of the equation. 19 + -19 + -5x = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 10 + -19 -5x = 10 + -19 Combine like terms: 10 + -19 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8
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