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Simplifying 3(x + 3) + 4 = 4(x + -5) + 3 Reorder the terms: 3(3 + x) + 4 = 4(x + -5) + 3 (3 * 3 + x * 3) + 4 = 4(x + -5) + 3 (9 + 3x) + 4 = 4(x + -5) + 3 Reorder the terms: 9 + 4 + 3x = 4(x + -5) + 3 Combine like terms: 9 + 4 = 13 13 + 3x = 4(x + -5) + 3 Reorder the terms: 13 + 3x = 4(-5 + x) + 3 13 + 3x = (-5 * 4 + x * 4) + 3 13 + 3x = (-20 + 4x) + 3 Reorder the terms: 13 + 3x = -20 + 3 + 4x Combine like terms: -20 + 3 = -17 13 + 3x = -17 + 4x Solving 13 + 3x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + 3x + -4x = -17 + 4x + -4x Combine like terms: 3x + -4x = -1x 13 + -1x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -1x = -17 + 0 13 + -1x = -17 Add '-13' to each side of the equation. 13 + -13 + -1x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -17 + -13 -1x = -17 + -13 Combine like terms: -17 + -13 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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