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Simplifying -23 + 2x = 8(-3x + 5) + 5x Reorder the terms: -23 + 2x = 8(5 + -3x) + 5x -23 + 2x = (5 * 8 + -3x * 8) + 5x -23 + 2x = (40 + -24x) + 5x Combine like terms: -24x + 5x = -19x -23 + 2x = 40 + -19x Solving -23 + 2x = 40 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -23 + 2x + 19x = 40 + -19x + 19x Combine like terms: 2x + 19x = 21x -23 + 21x = 40 + -19x + 19x Combine like terms: -19x + 19x = 0 -23 + 21x = 40 + 0 -23 + 21x = 40 Add '23' to each side of the equation. -23 + 23 + 21x = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 21x = 40 + 23 21x = 40 + 23 Combine like terms: 40 + 23 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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