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Simplifying -5(x + -2) + 3x = 10 + -4(2x + -5) + 6 Reorder the terms: -5(-2 + x) + 3x = 10 + -4(2x + -5) + 6 (-2 * -5 + x * -5) + 3x = 10 + -4(2x + -5) + 6 (10 + -5x) + 3x = 10 + -4(2x + -5) + 6 Combine like terms: -5x + 3x = -2x 10 + -2x = 10 + -4(2x + -5) + 6 Reorder the terms: 10 + -2x = 10 + -4(-5 + 2x) + 6 10 + -2x = 10 + (-5 * -4 + 2x * -4) + 6 10 + -2x = 10 + (20 + -8x) + 6 Reorder the terms: 10 + -2x = 10 + 20 + 6 + -8x Combine like terms: 10 + 20 = 30 10 + -2x = 30 + 6 + -8x Combine like terms: 30 + 6 = 36 10 + -2x = 36 + -8x Solving 10 + -2x = 36 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + -2x + 8x = 36 + -8x + 8x Combine like terms: -2x + 8x = 6x 10 + 6x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 6x = 36 + 0 10 + 6x = 36 Add '-10' to each side of the equation. 10 + -10 + 6x = 36 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 36 + -10 6x = 36 + -10 Combine like terms: 36 + -10 = 26 6x = 26 Divide each side by '6'. x = 4.333333333 Simplifying x = 4.333333333
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