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Simplifying 2[4 + -3x] + 5[2x + -3] = 20 + -5x [4 * 2 + -3x * 2] + 5[2x + -3] = 20 + -5x [8 + -6x] + 5[2x + -3] = 20 + -5x Reorder the terms: 8 + -6x + 5[-3 + 2x] = 20 + -5x 8 + -6x + [-3 * 5 + 2x * 5] = 20 + -5x 8 + -6x + [-15 + 10x] = 20 + -5x Reorder the terms: 8 + -15 + -6x + 10x = 20 + -5x Combine like terms: 8 + -15 = -7 -7 + -6x + 10x = 20 + -5x Combine like terms: -6x + 10x = 4x -7 + 4x = 20 + -5x Solving -7 + 4x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + 4x + 5x = 20 + -5x + 5x Combine like terms: 4x + 5x = 9x -7 + 9x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 9x = 20 + 0 -7 + 9x = 20 Add '7' to each side of the equation. -7 + 7 + 9x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 20 + 7 9x = 20 + 7 Combine like terms: 20 + 7 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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