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Simplifying -2(1x + 3) + 3 = 6(1x + 4) + 6 Reorder the terms: -2(3 + 1x) + 3 = 6(1x + 4) + 6 (3 * -2 + 1x * -2) + 3 = 6(1x + 4) + 6 (-6 + -2x) + 3 = 6(1x + 4) + 6 Reorder the terms: -6 + 3 + -2x = 6(1x + 4) + 6 Combine like terms: -6 + 3 = -3 -3 + -2x = 6(1x + 4) + 6 Reorder the terms: -3 + -2x = 6(4 + 1x) + 6 -3 + -2x = (4 * 6 + 1x * 6) + 6 -3 + -2x = (24 + 6x) + 6 Reorder the terms: -3 + -2x = 24 + 6 + 6x Combine like terms: 24 + 6 = 30 -3 + -2x = 30 + 6x Solving -3 + -2x = 30 + 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 = 30 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 30 + 0 -3 + -8x = 30 Add '3' to each side of the equation. -3 + 3 + -8x = 30 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 30 + 3 -8x = 30 + 3 Combine like terms: 30 + 3 = 33 -8x = 33 Divide each side by '-8'. x = -4.125 Simplifying x = -4.125
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