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Simplifying 6x + 3 + -10x + 20x + 2(-1x + 10) = 15x Reorder the terms: 6x + 3 + -10x + 20x + 2(10 + -1x) = 15x 6x + 3 + -10x + 20x + (10 * 2 + -1x * 2) = 15x 6x + 3 + -10x + 20x + (20 + -2x) = 15x Reorder the terms: 3 + 20 + 6x + -10x + 20x + -2x = 15x Combine like terms: 3 + 20 = 23 23 + 6x + -10x + 20x + -2x = 15x Combine like terms: 6x + -10x = -4x 23 + -4x + 20x + -2x = 15x Combine like terms: -4x + 20x = 16x 23 + 16x + -2x = 15x Combine like terms: 16x + -2x = 14x 23 + 14x = 15x Solving 23 + 14x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 23 + 14x + -15x = 15x + -15x Combine like terms: 14x + -15x = -1x 23 + -1x = 15x + -15x Combine like terms: 15x + -15x = 0 23 + -1x = 0 Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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