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Simplifying 3 + -2(x + -3) = 5x + 3(2x + -5) + 8x Reorder the terms: 3 + -2(-3 + x) = 5x + 3(2x + -5) + 8x 3 + (-3 * -2 + x * -2) = 5x + 3(2x + -5) + 8x 3 + (6 + -2x) = 5x + 3(2x + -5) + 8x Combine like terms: 3 + 6 = 9 9 + -2x = 5x + 3(2x + -5) + 8x Reorder the terms: 9 + -2x = 5x + 3(-5 + 2x) + 8x 9 + -2x = 5x + (-5 * 3 + 2x * 3) + 8x 9 + -2x = 5x + (-15 + 6x) + 8x Reorder the terms: 9 + -2x = -15 + 5x + 6x + 8x Combine like terms: 5x + 6x = 11x 9 + -2x = -15 + 11x + 8x Combine like terms: 11x + 8x = 19x 9 + -2x = -15 + 19x Solving 9 + -2x = -15 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 9 + -2x + -19x = -15 + 19x + -19x Combine like terms: -2x + -19x = -21x 9 + -21x = -15 + 19x + -19x Combine like terms: 19x + -19x = 0 9 + -21x = -15 + 0 9 + -21x = -15 Add '-9' to each side of the equation. 9 + -9 + -21x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -21x = -15 + -9 -21x = -15 + -9 Combine like terms: -15 + -9 = -24 -21x = -24 Divide each side by '-21'. x = 1.142857143 Simplifying x = 1.142857143
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