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Simplifying 3(2x + -3) + -4 = 3(x + -5) + 26 Reorder the terms: 3(-3 + 2x) + -4 = 3(x + -5) + 26 (-3 * 3 + 2x * 3) + -4 = 3(x + -5) + 26 (-9 + 6x) + -4 = 3(x + -5) + 26 Reorder the terms: -9 + -4 + 6x = 3(x + -5) + 26 Combine like terms: -9 + -4 = -13 -13 + 6x = 3(x + -5) + 26 Reorder the terms: -13 + 6x = 3(-5 + x) + 26 -13 + 6x = (-5 * 3 + x * 3) + 26 -13 + 6x = (-15 + 3x) + 26 Reorder the terms: -13 + 6x = -15 + 26 + 3x Combine like terms: -15 + 26 = 11 -13 + 6x = 11 + 3x Solving -13 + 6x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 6x + -3x = 11 + 3x + -3x Combine like terms: 6x + -3x = 3x -13 + 3x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 3x = 11 + 0 -13 + 3x = 11 Add '13' to each side of the equation. -13 + 13 + 3x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 11 + 13 3x = 11 + 13 Combine like terms: 11 + 13 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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