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Simplifying 3x + 2(x + 3) = 4(2x + -1) + -5 Reorder the terms: 3x + 2(3 + x) = 4(2x + -1) + -5 3x + (3 * 2 + x * 2) = 4(2x + -1) + -5 3x + (6 + 2x) = 4(2x + -1) + -5 Reorder the terms: 6 + 3x + 2x = 4(2x + -1) + -5 Combine like terms: 3x + 2x = 5x 6 + 5x = 4(2x + -1) + -5 Reorder the terms: 6 + 5x = 4(-1 + 2x) + -5 6 + 5x = (-1 * 4 + 2x * 4) + -5 6 + 5x = (-4 + 8x) + -5 Reorder the terms: 6 + 5x = -4 + -5 + 8x Combine like terms: -4 + -5 = -9 6 + 5x = -9 + 8x Solving 6 + 5x = -9 + 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. 6 + 5x + -8x = -9 + 8x + -8x Combine like terms: 5x + -8x = -3x 6 + -3x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -3x = -9 + 0 6 + -3x = -9 Add '-6' to each side of the equation. 6 + -6 + -3x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -9 + -6 -3x = -9 + -6 Combine like terms: -9 + -6 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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