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Simplifying 2x + x + 3(2x + 5) = 5x + -1(x + -4) + 2x + -10 Reorder the terms: 2x + x + 3(5 + 2x) = 5x + -1(x + -4) + 2x + -10 2x + x + (5 * 3 + 2x * 3) = 5x + -1(x + -4) + 2x + -10 2x + x + (15 + 6x) = 5x + -1(x + -4) + 2x + -10 Reorder the terms: 15 + 2x + x + 6x = 5x + -1(x + -4) + 2x + -10 Combine like terms: 2x + x = 3x 15 + 3x + 6x = 5x + -1(x + -4) + 2x + -10 Combine like terms: 3x + 6x = 9x 15 + 9x = 5x + -1(x + -4) + 2x + -10 Reorder the terms: 15 + 9x = 5x + -1(-4 + x) + 2x + -10 15 + 9x = 5x + (-4 * -1 + x * -1) + 2x + -10 15 + 9x = 5x + (4 + -1x) + 2x + -10 Reorder the terms: 15 + 9x = 4 + -10 + 5x + -1x + 2x Combine like terms: 4 + -10 = -6 15 + 9x = -6 + 5x + -1x + 2x Combine like terms: 5x + -1x = 4x 15 + 9x = -6 + 4x + 2x Combine like terms: 4x + 2x = 6x 15 + 9x = -6 + 6x Solving 15 + 9x = -6 + 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. 15 + 9x + -6x = -6 + 6x + -6x Combine like terms: 9x + -6x = 3x 15 + 3x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 3x = -6 + 0 15 + 3x = -6 Add '-15' to each side of the equation. 15 + -15 + 3x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = -6 + -15 3x = -6 + -15 Combine like terms: -6 + -15 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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