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Simplifying -6(x + -2) + -3(5x + -7) = 3(2x + 5) + 11 Reorder the terms: -6(-2 + x) + -3(5x + -7) = 3(2x + 5) + 11 (-2 * -6 + x * -6) + -3(5x + -7) = 3(2x + 5) + 11 (12 + -6x) + -3(5x + -7) = 3(2x + 5) + 11 Reorder the terms: 12 + -6x + -3(-7 + 5x) = 3(2x + 5) + 11 12 + -6x + (-7 * -3 + 5x * -3) = 3(2x + 5) + 11 12 + -6x + (21 + -15x) = 3(2x + 5) + 11 Reorder the terms: 12 + 21 + -6x + -15x = 3(2x + 5) + 11 Combine like terms: 12 + 21 = 33 33 + -6x + -15x = 3(2x + 5) + 11 Combine like terms: -6x + -15x = -21x 33 + -21x = 3(2x + 5) + 11 Reorder the terms: 33 + -21x = 3(5 + 2x) + 11 33 + -21x = (5 * 3 + 2x * 3) + 11 33 + -21x = (15 + 6x) + 11 Reorder the terms: 33 + -21x = 15 + 11 + 6x Combine like terms: 15 + 11 = 26 33 + -21x = 26 + 6x Solving 33 + -21x = 26 + 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. 33 + -21x + -6x = 26 + 6x + -6x Combine like terms: -21x + -6x = -27x 33 + -27x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 33 + -27x = 26 + 0 33 + -27x = 26 Add '-33' to each side of the equation. 33 + -33 + -27x = 26 + -33 Combine like terms: 33 + -33 = 0 0 + -27x = 26 + -33 -27x = 26 + -33 Combine like terms: 26 + -33 = -7 -27x = -7 Divide each side by '-27'. x = 0.2592592593 Simplifying x = 0.2592592593
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