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Simplifying -2(x + 3) + 3 = 6(x + 3) + 1 Reorder the terms: -2(3 + x) + 3 = 6(x + 3) + 1 (3 * -2 + x * -2) + 3 = 6(x + 3) + 1 (-6 + -2x) + 3 = 6(x + 3) + 1 Reorder the terms: -6 + 3 + -2x = 6(x + 3) + 1 Combine like terms: -6 + 3 = -3 -3 + -2x = 6(x + 3) + 1 Reorder the terms: -3 + -2x = 6(3 + x) + 1 -3 + -2x = (3 * 6 + x * 6) + 1 -3 + -2x = (18 + 6x) + 1 Reorder the terms: -3 + -2x = 18 + 1 + 6x Combine like terms: 18 + 1 = 19 -3 + -2x = 19 + 6x Solving -3 + -2x = 19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -2x + -6x = 19 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 19 + 0 -3 + -8x = 19 Add '3' to each side of the equation. -3 + 3 + -8x = 19 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 19 + 3 -8x = 19 + 3 Combine like terms: 19 + 3 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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