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Simplifying 5x + 3 = 6(2x + 7) + -18 Reorder the terms: 3 + 5x = 6(2x + 7) + -18 Reorder the terms: 3 + 5x = 6(7 + 2x) + -18 3 + 5x = (7 * 6 + 2x * 6) + -18 3 + 5x = (42 + 12x) + -18 Reorder the terms: 3 + 5x = 42 + -18 + 12x Combine like terms: 42 + -18 = 24 3 + 5x = 24 + 12x Solving 3 + 5x = 24 + 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. 3 + 5x + -12x = 24 + 12x + -12x Combine like terms: 5x + -12x = -7x 3 + -7x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -7x = 24 + 0 3 + -7x = 24 Add '-3' to each side of the equation. 3 + -3 + -7x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 24 + -3 -7x = 24 + -3 Combine like terms: 24 + -3 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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