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Simplifying 3(2x + -6) + -8 = 4(7 + -1x) + -3x Reorder the terms: 3(-6 + 2x) + -8 = 4(7 + -1x) + -3x (-6 * 3 + 2x * 3) + -8 = 4(7 + -1x) + -3x (-18 + 6x) + -8 = 4(7 + -1x) + -3x Reorder the terms: -18 + -8 + 6x = 4(7 + -1x) + -3x Combine like terms: -18 + -8 = -26 -26 + 6x = 4(7 + -1x) + -3x -26 + 6x = (7 * 4 + -1x * 4) + -3x -26 + 6x = (28 + -4x) + -3x Combine like terms: -4x + -3x = -7x -26 + 6x = 28 + -7x Solving -26 + 6x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -26 + 6x + 7x = 28 + -7x + 7x Combine like terms: 6x + 7x = 13x -26 + 13x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 -26 + 13x = 28 + 0 -26 + 13x = 28 Add '26' to each side of the equation. -26 + 26 + 13x = 28 + 26 Combine like terms: -26 + 26 = 0 0 + 13x = 28 + 26 13x = 28 + 26 Combine like terms: 28 + 26 = 54 13x = 54 Divide each side by '13'. x = 4.153846154 Simplifying x = 4.153846154
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