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Simplifying 3x + -10(x + -1) = 2(3x + 4) + -11 Reorder the terms: 3x + -10(-1 + x) = 2(3x + 4) + -11 3x + (-1 * -10 + x * -10) = 2(3x + 4) + -11 3x + (10 + -10x) = 2(3x + 4) + -11 Reorder the terms: 10 + 3x + -10x = 2(3x + 4) + -11 Combine like terms: 3x + -10x = -7x 10 + -7x = 2(3x + 4) + -11 Reorder the terms: 10 + -7x = 2(4 + 3x) + -11 10 + -7x = (4 * 2 + 3x * 2) + -11 10 + -7x = (8 + 6x) + -11 Reorder the terms: 10 + -7x = 8 + -11 + 6x Combine like terms: 8 + -11 = -3 10 + -7x = -3 + 6x Solving 10 + -7x = -3 + 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. 10 + -7x + -6x = -3 + 6x + -6x Combine like terms: -7x + -6x = -13x 10 + -13x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -13x = -3 + 0 10 + -13x = -3 Add '-10' to each side of the equation. 10 + -10 + -13x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = -3 + -10 -13x = -3 + -10 Combine like terms: -3 + -10 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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