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Simplifying 1 + 4(x + -6) = 10 + -2(x + -7) Reorder the terms: 1 + 4(-6 + x) = 10 + -2(x + -7) 1 + (-6 * 4 + x * 4) = 10 + -2(x + -7) 1 + (-24 + 4x) = 10 + -2(x + -7) Combine like terms: 1 + -24 = -23 -23 + 4x = 10 + -2(x + -7) Reorder the terms: -23 + 4x = 10 + -2(-7 + x) -23 + 4x = 10 + (-7 * -2 + x * -2) -23 + 4x = 10 + (14 + -2x) Combine like terms: 10 + 14 = 24 -23 + 4x = 24 + -2x Solving -23 + 4x = 24 + -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 + 4x + 2x = 24 + -2x + 2x Combine like terms: 4x + 2x = 6x -23 + 6x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -23 + 6x = 24 + 0 -23 + 6x = 24 Add '23' to each side of the equation. -23 + 23 + 6x = 24 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = 24 + 23 6x = 24 + 23 Combine like terms: 24 + 23 = 47 6x = 47 Divide each side by '6'. x = 7.833333333 Simplifying x = 7.833333333
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