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Simplifying 6(x + -3) + 6 = 4(7 + -2x) Reorder the terms: 6(-3 + x) + 6 = 4(7 + -2x) (-3 * 6 + x * 6) + 6 = 4(7 + -2x) (-18 + 6x) + 6 = 4(7 + -2x) Reorder the terms: -18 + 6 + 6x = 4(7 + -2x) Combine like terms: -18 + 6 = -12 -12 + 6x = 4(7 + -2x) -12 + 6x = (7 * 4 + -2x * 4) -12 + 6x = (28 + -8x) Solving -12 + 6x = 28 + -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. -12 + 6x + 8x = 28 + -8x + 8x Combine like terms: 6x + 8x = 14x -12 + 14x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 14x = 28 + 0 -12 + 14x = 28 Add '12' to each side of the equation. -12 + 12 + 14x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 28 + 12 14x = 28 + 12 Combine like terms: 28 + 12 = 40 14x = 40 Divide each side by '14'. x = 2.857142857 Simplifying x = 2.857142857
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