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Simplifying 4x + 23 = 3(4x + -5) + -10 Reorder the terms: 23 + 4x = 3(4x + -5) + -10 Reorder the terms: 23 + 4x = 3(-5 + 4x) + -10 23 + 4x = (-5 * 3 + 4x * 3) + -10 23 + 4x = (-15 + 12x) + -10 Reorder the terms: 23 + 4x = -15 + -10 + 12x Combine like terms: -15 + -10 = -25 23 + 4x = -25 + 12x Solving 23 + 4x = -25 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 23 + 4x + -12x = -25 + 12x + -12x Combine like terms: 4x + -12x = -8x 23 + -8x = -25 + 12x + -12x Combine like terms: 12x + -12x = 0 23 + -8x = -25 + 0 23 + -8x = -25 Add '-23' to each side of the equation. 23 + -23 + -8x = -25 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = -25 + -23 -8x = -25 + -23 Combine like terms: -25 + -23 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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