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Simplifying 570 = 6x + 6(x + 5) Reorder the terms: 570 = 6x + 6(5 + x) 570 = 6x + (5 * 6 + x * 6) 570 = 6x + (30 + 6x) Reorder the terms: 570 = 30 + 6x + 6x Combine like terms: 6x + 6x = 12x 570 = 30 + 12x Solving 570 = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 570 + -12x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 570 + -12x = 30 + 0 570 + -12x = 30 Add '-570' to each side of the equation. 570 + -570 + -12x = 30 + -570 Combine like terms: 570 + -570 = 0 0 + -12x = 30 + -570 -12x = 30 + -570 Combine like terms: 30 + -570 = -540 -12x = -540 Divide each side by '-12'. x = 45 Simplifying x = 45
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