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Simplifying 6(x + -7) = 4(x + -2) Reorder the terms: 6(-7 + x) = 4(x + -2) (-7 * 6 + x * 6) = 4(x + -2) (-42 + 6x) = 4(x + -2) Reorder the terms: -42 + 6x = 4(-2 + x) -42 + 6x = (-2 * 4 + x * 4) -42 + 6x = (-8 + 4x) Solving -42 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x -42 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 2x = -8 + 0 -42 + 2x = -8 Add '42' to each side of the equation. -42 + 42 + 2x = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = -8 + 42 2x = -8 + 42 Combine like terms: -8 + 42 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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