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Simplifying 3x + -2(x + -6) = 10 + -4(x + -7) Reorder the terms: 3x + -2(-6 + x) = 10 + -4(x + -7) 3x + (-6 * -2 + x * -2) = 10 + -4(x + -7) 3x + (12 + -2x) = 10 + -4(x + -7) Reorder the terms: 12 + 3x + -2x = 10 + -4(x + -7) Combine like terms: 3x + -2x = 1x 12 + 1x = 10 + -4(x + -7) Reorder the terms: 12 + 1x = 10 + -4(-7 + x) 12 + 1x = 10 + (-7 * -4 + x * -4) 12 + 1x = 10 + (28 + -4x) Combine like terms: 10 + 28 = 38 12 + 1x = 38 + -4x Solving 12 + 1x = 38 + -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. 12 + 1x + 4x = 38 + -4x + 4x Combine like terms: 1x + 4x = 5x 12 + 5x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 5x = 38 + 0 12 + 5x = 38 Add '-12' to each side of the equation. 12 + -12 + 5x = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 38 + -12 5x = 38 + -12 Combine like terms: 38 + -12 = 26 5x = 26 Divide each side by '5'. x = 5.2 Simplifying x = 5.2
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