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Simplifying 7(2x + -2) = 6(4x + 7) Reorder the terms: 7(-2 + 2x) = 6(4x + 7) (-2 * 7 + 2x * 7) = 6(4x + 7) (-14 + 14x) = 6(4x + 7) Reorder the terms: -14 + 14x = 6(7 + 4x) -14 + 14x = (7 * 6 + 4x * 6) -14 + 14x = (42 + 24x) Solving -14 + 14x = 42 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -14 + 14x + -24x = 42 + 24x + -24x Combine like terms: 14x + -24x = -10x -14 + -10x = 42 + 24x + -24x Combine like terms: 24x + -24x = 0 -14 + -10x = 42 + 0 -14 + -10x = 42 Add '14' to each side of the equation. -14 + 14 + -10x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + -10x = 42 + 14 -10x = 42 + 14 Combine like terms: 42 + 14 = 56 -10x = 56 Divide each side by '-10'. x = -5.6 Simplifying x = -5.6
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