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Simplifying 3(x + 3) + -5[2(x + -2)] = 2(x + 3) Reorder the terms: 3(3 + x) + -5[2(x + -2)] = 2(x + 3) (3 * 3 + x * 3) + -5[2(x + -2)] = 2(x + 3) (9 + 3x) + -5[2(x + -2)] = 2(x + 3) Reorder the terms: 9 + 3x + -5[2(-2 + x)] = 2(x + 3) 9 + 3x + -5[(-2 * 2 + x * 2)] = 2(x + 3) 9 + 3x + -5[(-4 + 2x)] = 2(x + 3) 9 + 3x + [-4 * -5 + 2x * -5] = 2(x + 3) 9 + 3x + [20 + -10x] = 2(x + 3) Reorder the terms: 9 + 20 + 3x + -10x = 2(x + 3) Combine like terms: 9 + 20 = 29 29 + 3x + -10x = 2(x + 3) Combine like terms: 3x + -10x = -7x 29 + -7x = 2(x + 3) Reorder the terms: 29 + -7x = 2(3 + x) 29 + -7x = (3 * 2 + x * 2) 29 + -7x = (6 + 2x) Solving 29 + -7x = 6 + 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. 29 + -7x + -2x = 6 + 2x + -2x Combine like terms: -7x + -2x = -9x 29 + -9x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + -9x = 6 + 0 29 + -9x = 6 Add '-29' to each side of the equation. 29 + -29 + -9x = 6 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = 6 + -29 -9x = 6 + -29 Combine like terms: 6 + -29 = -23 -9x = -23 Divide each side by '-9'. x = 2.555555556 Simplifying x = 2.555555556
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