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Simplifying 1 + 6(x + -4) = 9 + -2(x + -2) Reorder the terms: 1 + 6(-4 + x) = 9 + -2(x + -2) 1 + (-4 * 6 + x * 6) = 9 + -2(x + -2) 1 + (-24 + 6x) = 9 + -2(x + -2) Combine like terms: 1 + -24 = -23 -23 + 6x = 9 + -2(x + -2) Reorder the terms: -23 + 6x = 9 + -2(-2 + x) -23 + 6x = 9 + (-2 * -2 + x * -2) -23 + 6x = 9 + (4 + -2x) Combine like terms: 9 + 4 = 13 -23 + 6x = 13 + -2x Solving -23 + 6x = 13 + -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. -23 + 6x + 2x = 13 + -2x + 2x Combine like terms: 6x + 2x = 8x -23 + 8x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -23 + 8x = 13 + 0 -23 + 8x = 13 Add '23' to each side of the equation. -23 + 23 + 8x = 13 + 23 Combine like terms: -23 + 23 = 0 0 + 8x = 13 + 23 8x = 13 + 23 Combine like terms: 13 + 23 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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