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Simplifying 3(2x + 3) + 11 = -2(x + -3) + -18 Reorder the terms: 3(3 + 2x) + 11 = -2(x + -3) + -18 (3 * 3 + 2x * 3) + 11 = -2(x + -3) + -18 (9 + 6x) + 11 = -2(x + -3) + -18 Reorder the terms: 9 + 11 + 6x = -2(x + -3) + -18 Combine like terms: 9 + 11 = 20 20 + 6x = -2(x + -3) + -18 Reorder the terms: 20 + 6x = -2(-3 + x) + -18 20 + 6x = (-3 * -2 + x * -2) + -18 20 + 6x = (6 + -2x) + -18 Reorder the terms: 20 + 6x = 6 + -18 + -2x Combine like terms: 6 + -18 = -12 20 + 6x = -12 + -2x Solving 20 + 6x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 20 + 6x + 2x = -12 + -2x + 2x Combine like terms: 6x + 2x = 8x 20 + 8x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 8x = -12 + 0 20 + 8x = -12 Add '-20' to each side of the equation. 20 + -20 + 8x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = -12 + -20 8x = -12 + -20 Combine like terms: -12 + -20 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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