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Simplifying 3(6x + 30) = x + 5(x + 4) + -2x Reorder the terms: 3(30 + 6x) = x + 5(x + 4) + -2x (30 * 3 + 6x * 3) = x + 5(x + 4) + -2x (90 + 18x) = x + 5(x + 4) + -2x Reorder the terms: 90 + 18x = x + 5(4 + x) + -2x 90 + 18x = x + (4 * 5 + x * 5) + -2x 90 + 18x = x + (20 + 5x) + -2x Reorder the terms: 90 + 18x = 20 + x + 5x + -2x Combine like terms: x + 5x = 6x 90 + 18x = 20 + 6x + -2x Combine like terms: 6x + -2x = 4x 90 + 18x = 20 + 4x Solving 90 + 18x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 90 + 18x + -4x = 20 + 4x + -4x Combine like terms: 18x + -4x = 14x 90 + 14x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 90 + 14x = 20 + 0 90 + 14x = 20 Add '-90' to each side of the equation. 90 + -90 + 14x = 20 + -90 Combine like terms: 90 + -90 = 0 0 + 14x = 20 + -90 14x = 20 + -90 Combine like terms: 20 + -90 = -70 14x = -70 Divide each side by '14'. x = -5 Simplifying x = -5
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