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Simplifying -2(x + 3) + 3 = 8(x + 3) + 1 Reorder the terms: -2(3 + x) + 3 = 8(x + 3) + 1 (3 * -2 + x * -2) + 3 = 8(x + 3) + 1 (-6 + -2x) + 3 = 8(x + 3) + 1 Reorder the terms: -6 + 3 + -2x = 8(x + 3) + 1 Combine like terms: -6 + 3 = -3 -3 + -2x = 8(x + 3) + 1 Reorder the terms: -3 + -2x = 8(3 + x) + 1 -3 + -2x = (3 * 8 + x * 8) + 1 -3 + -2x = (24 + 8x) + 1 Reorder the terms: -3 + -2x = 24 + 1 + 8x Combine like terms: 24 + 1 = 25 -3 + -2x = 25 + 8x Solving -3 + -2x = 25 + 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 + -2x + -8x = 25 + 8x + -8x Combine like terms: -2x + -8x = -10x -3 + -10x = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -10x = 25 + 0 -3 + -10x = 25 Add '3' to each side of the equation. -3 + 3 + -10x = 25 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 25 + 3 -10x = 25 + 3 Combine like terms: 25 + 3 = 28 -10x = 28 Divide each side by '-10'. x = -2.8 Simplifying x = -2.8
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