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Simplifying 6x + -2 = 7(x + -4) Reorder the terms: -2 + 6x = 7(x + -4) Reorder the terms: -2 + 6x = 7(-4 + x) -2 + 6x = (-4 * 7 + x * 7) -2 + 6x = (-28 + 7x) Solving -2 + 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. -2 + 6x + -7x = -28 + 7x + -7x Combine like terms: 6x + -7x = -1x -2 + -1x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -1x = -28 + 0 -2 + -1x = -28 Add '2' to each side of the equation. -2 + 2 + -1x = -28 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -28 + 2 -1x = -28 + 2 Combine like terms: -28 + 2 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26
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