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Simplifying 2x + 4x + -2(x + -5) + 10 = x + 23 Reorder the terms: 2x + 4x + -2(-5 + x) + 10 = x + 23 2x + 4x + (-5 * -2 + x * -2) + 10 = x + 23 2x + 4x + (10 + -2x) + 10 = x + 23 Reorder the terms: 10 + 10 + 2x + 4x + -2x = x + 23 Combine like terms: 10 + 10 = 20 20 + 2x + 4x + -2x = x + 23 Combine like terms: 2x + 4x = 6x 20 + 6x + -2x = x + 23 Combine like terms: 6x + -2x = 4x 20 + 4x = x + 23 Reorder the terms: 20 + 4x = 23 + x Solving 20 + 4x = 23 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 4x + -1x = 23 + x + -1x Combine like terms: 4x + -1x = 3x 20 + 3x = 23 + x + -1x Combine like terms: x + -1x = 0 20 + 3x = 23 + 0 20 + 3x = 23 Add '-20' to each side of the equation. 20 + -20 + 3x = 23 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 23 + -20 3x = 23 + -20 Combine like terms: 23 + -20 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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