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Simplifying -3(x + 4) + 6 = 5(x + 3) + 1 Reorder the terms: -3(4 + x) + 6 = 5(x + 3) + 1 (4 * -3 + x * -3) + 6 = 5(x + 3) + 1 (-12 + -3x) + 6 = 5(x + 3) + 1 Reorder the terms: -12 + 6 + -3x = 5(x + 3) + 1 Combine like terms: -12 + 6 = -6 -6 + -3x = 5(x + 3) + 1 Reorder the terms: -6 + -3x = 5(3 + x) + 1 -6 + -3x = (3 * 5 + x * 5) + 1 -6 + -3x = (15 + 5x) + 1 Reorder the terms: -6 + -3x = 15 + 1 + 5x Combine like terms: 15 + 1 = 16 -6 + -3x = 16 + 5x Solving -6 + -3x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -3x + -5x = 16 + 5x + -5x Combine like terms: -3x + -5x = -8x -6 + -8x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -8x = 16 + 0 -6 + -8x = 16 Add '6' to each side of the equation. -6 + 6 + -8x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 16 + 6 -8x = 16 + 6 Combine like terms: 16 + 6 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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