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Simplifying -3(2x + -7) + 2(5x + 4) + -10 = 11 Reorder the terms: -3(-7 + 2x) + 2(5x + 4) + -10 = 11 (-7 * -3 + 2x * -3) + 2(5x + 4) + -10 = 11 (21 + -6x) + 2(5x + 4) + -10 = 11 Reorder the terms: 21 + -6x + 2(4 + 5x) + -10 = 11 21 + -6x + (4 * 2 + 5x * 2) + -10 = 11 21 + -6x + (8 + 10x) + -10 = 11 Reorder the terms: 21 + 8 + -10 + -6x + 10x = 11 Combine like terms: 21 + 8 = 29 29 + -10 + -6x + 10x = 11 Combine like terms: 29 + -10 = 19 19 + -6x + 10x = 11 Combine like terms: -6x + 10x = 4x 19 + 4x = 11 Solving 19 + 4x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 11 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 11 + -19 4x = 11 + -19 Combine like terms: 11 + -19 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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