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Simplifying 6(x + 21) + -15 = 3x + 18 Reorder the terms: 6(21 + x) + -15 = 3x + 18 (21 * 6 + x * 6) + -15 = 3x + 18 (126 + 6x) + -15 = 3x + 18 Reorder the terms: 126 + -15 + 6x = 3x + 18 Combine like terms: 126 + -15 = 111 111 + 6x = 3x + 18 Reorder the terms: 111 + 6x = 18 + 3x Solving 111 + 6x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 111 + 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x 111 + 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 111 + 3x = 18 + 0 111 + 3x = 18 Add '-111' to each side of the equation. 111 + -111 + 3x = 18 + -111 Combine like terms: 111 + -111 = 0 0 + 3x = 18 + -111 3x = 18 + -111 Combine like terms: 18 + -111 = -93 3x = -93 Divide each side by '3'. x = -31 Simplifying x = -31
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