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Simplifying -2(x + 4) + 3x = -4(3x + 3) + 13 Reorder the terms: -2(4 + x) + 3x = -4(3x + 3) + 13 (4 * -2 + x * -2) + 3x = -4(3x + 3) + 13 (-8 + -2x) + 3x = -4(3x + 3) + 13 Combine like terms: -2x + 3x = 1x -8 + 1x = -4(3x + 3) + 13 Reorder the terms: -8 + 1x = -4(3 + 3x) + 13 -8 + 1x = (3 * -4 + 3x * -4) + 13 -8 + 1x = (-12 + -12x) + 13 Reorder the terms: -8 + 1x = -12 + 13 + -12x Combine like terms: -12 + 13 = 1 -8 + 1x = 1 + -12x Solving -8 + 1x = 1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + 1x + 12x = 1 + -12x + 12x Combine like terms: 1x + 12x = 13x -8 + 13x = 1 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 13x = 1 + 0 -8 + 13x = 1 Add '8' to each side of the equation. -8 + 8 + 13x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 1 + 8 13x = 1 + 8 Combine like terms: 1 + 8 = 9 13x = 9 Divide each side by '13'. x = 0.6923076923 Simplifying x = 0.6923076923
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