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Simplifying -3(x + 6) + 3 = 5(x + 4) + 1 Reorder the terms: -3(6 + x) + 3 = 5(x + 4) + 1 (6 * -3 + x * -3) + 3 = 5(x + 4) + 1 (-18 + -3x) + 3 = 5(x + 4) + 1 Reorder the terms: -18 + 3 + -3x = 5(x + 4) + 1 Combine like terms: -18 + 3 = -15 -15 + -3x = 5(x + 4) + 1 Reorder the terms: -15 + -3x = 5(4 + x) + 1 -15 + -3x = (4 * 5 + x * 5) + 1 -15 + -3x = (20 + 5x) + 1 Reorder the terms: -15 + -3x = 20 + 1 + 5x Combine like terms: 20 + 1 = 21 -15 + -3x = 21 + 5x Solving -15 + -3x = 21 + 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. -15 + -3x + -5x = 21 + 5x + -5x Combine like terms: -3x + -5x = -8x -15 + -8x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -8x = 21 + 0 -15 + -8x = 21 Add '15' to each side of the equation. -15 + 15 + -8x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 21 + 15 -8x = 21 + 15 Combine like terms: 21 + 15 = 36 -8x = 36 Divide each side by '-8'. x = -4.5 Simplifying x = -4.5
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