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Simplifying 5 + 3(x + -2) = 4 + -2(x + -6) Reorder the terms: 5 + 3(-2 + x) = 4 + -2(x + -6) 5 + (-2 * 3 + x * 3) = 4 + -2(x + -6) 5 + (-6 + 3x) = 4 + -2(x + -6) Combine like terms: 5 + -6 = -1 -1 + 3x = 4 + -2(x + -6) Reorder the terms: -1 + 3x = 4 + -2(-6 + x) -1 + 3x = 4 + (-6 * -2 + x * -2) -1 + 3x = 4 + (12 + -2x) Combine like terms: 4 + 12 = 16 -1 + 3x = 16 + -2x Solving -1 + 3x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 3x + 2x = 16 + -2x + 2x Combine like terms: 3x + 2x = 5x -1 + 5x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 5x = 16 + 0 -1 + 5x = 16 Add '1' to each side of the equation. -1 + 1 + 5x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 16 + 1 5x = 16 + 1 Combine like terms: 16 + 1 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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