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Simplifying 6x + -1(x + 3) = 4(2x + 3) + -3 Reorder the terms: 6x + -1(3 + x) = 4(2x + 3) + -3 6x + (3 * -1 + x * -1) = 4(2x + 3) + -3 6x + (-3 + -1x) = 4(2x + 3) + -3 Reorder the terms: -3 + 6x + -1x = 4(2x + 3) + -3 Combine like terms: 6x + -1x = 5x -3 + 5x = 4(2x + 3) + -3 Reorder the terms: -3 + 5x = 4(3 + 2x) + -3 -3 + 5x = (3 * 4 + 2x * 4) + -3 -3 + 5x = (12 + 8x) + -3 Reorder the terms: -3 + 5x = 12 + -3 + 8x Combine like terms: 12 + -3 = 9 -3 + 5x = 9 + 8x Solving -3 + 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. -3 + 5x + -8x = 9 + 8x + -8x Combine like terms: 5x + -8x = -3x -3 + -3x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -3x = 9 + 0 -3 + -3x = 9 Add '3' to each side of the equation. -3 + 3 + -3x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 9 + 3 -3x = 9 + 3 Combine like terms: 9 + 3 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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