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Simplifying 3(4 + 3x) + -13 = 4(2x + -5) + 10 (4 * 3 + 3x * 3) + -13 = 4(2x + -5) + 10 (12 + 9x) + -13 = 4(2x + -5) + 10 Reorder the terms: 12 + -13 + 9x = 4(2x + -5) + 10 Combine like terms: 12 + -13 = -1 -1 + 9x = 4(2x + -5) + 10 Reorder the terms: -1 + 9x = 4(-5 + 2x) + 10 -1 + 9x = (-5 * 4 + 2x * 4) + 10 -1 + 9x = (-20 + 8x) + 10 Reorder the terms: -1 + 9x = -20 + 10 + 8x Combine like terms: -20 + 10 = -10 -1 + 9x = -10 + 8x Solving -1 + 9x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 9x + -8x = -10 + 8x + -8x Combine like terms: 9x + -8x = 1x -1 + 1x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 1x = -10 + 0 -1 + 1x = -10 Add '1' to each side of the equation. -1 + 1 + 1x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -10 + 1 1x = -10 + 1 Combine like terms: -10 + 1 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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