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Simplifying -6(-4x + -5) + -6x = 3(2x + 6) + 570 Reorder the terms: -6(-5 + -4x) + -6x = 3(2x + 6) + 570 (-5 * -6 + -4x * -6) + -6x = 3(2x + 6) + 570 (30 + 24x) + -6x = 3(2x + 6) + 570 Combine like terms: 24x + -6x = 18x 30 + 18x = 3(2x + 6) + 570 Reorder the terms: 30 + 18x = 3(6 + 2x) + 570 30 + 18x = (6 * 3 + 2x * 3) + 570 30 + 18x = (18 + 6x) + 570 Reorder the terms: 30 + 18x = 18 + 570 + 6x Combine like terms: 18 + 570 = 588 30 + 18x = 588 + 6x Solving 30 + 18x = 588 + 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. 30 + 18x + -6x = 588 + 6x + -6x Combine like terms: 18x + -6x = 12x 30 + 12x = 588 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 12x = 588 + 0 30 + 12x = 588 Add '-30' to each side of the equation. 30 + -30 + 12x = 588 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = 588 + -30 12x = 588 + -30 Combine like terms: 588 + -30 = 558 12x = 558 Divide each side by '12'. x = 46.5 Simplifying x = 46.5
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