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Simplifying 2x + 20 = 3[4 + -2(x + 2)] Reorder the terms: 20 + 2x = 3[4 + -2(x + 2)] Reorder the terms: 20 + 2x = 3[4 + -2(2 + x)] 20 + 2x = 3[4 + (2 * -2 + x * -2)] 20 + 2x = 3[4 + (-4 + -2x)] Combine like terms: 4 + -4 = 0 20 + 2x = 3[0 + -2x] 20 + 2x = 3[-2x] Remove brackets around [-2x] 20 + 2x = 3 * -2x Multiply 3 * -2 20 + 2x = -6x Solving 20 + 2x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 20 + 2x + 6x = -6x + 6x Combine like terms: 2x + 6x = 8x 20 + 8x = -6x + 6x Combine like terms: -6x + 6x = 0 20 + 8x = 0 Add '-20' to each side of the equation. 20 + -20 + 8x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 0 + -20 8x = 0 + -20 Combine like terms: 0 + -20 = -20 8x = -20 Divide each side by '8'. x = -2.5 Simplifying x = -2.5
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