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Simplifying 4(3x + -5) + 23 = 2(3x + -5) + 10 Reorder the terms: 4(-5 + 3x) + 23 = 2(3x + -5) + 10 (-5 * 4 + 3x * 4) + 23 = 2(3x + -5) + 10 (-20 + 12x) + 23 = 2(3x + -5) + 10 Reorder the terms: -20 + 23 + 12x = 2(3x + -5) + 10 Combine like terms: -20 + 23 = 3 3 + 12x = 2(3x + -5) + 10 Reorder the terms: 3 + 12x = 2(-5 + 3x) + 10 3 + 12x = (-5 * 2 + 3x * 2) + 10 3 + 12x = (-10 + 6x) + 10 Reorder the terms: 3 + 12x = -10 + 10 + 6x Combine like terms: -10 + 10 = 0 3 + 12x = 0 + 6x 3 + 12x = 6x Solving 3 + 12x = 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. 3 + 12x + -6x = 6x + -6x Combine like terms: 12x + -6x = 6x 3 + 6x = 6x + -6x Combine like terms: 6x + -6x = 0 3 + 6x = 0 Add '-3' to each side of the equation. 3 + -3 + 6x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 0 + -3 6x = 0 + -3 Combine like terms: 0 + -3 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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