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Simplifying 7(x + 6) + -6x = 4(x + 10) Reorder the terms: 7(6 + x) + -6x = 4(x + 10) (6 * 7 + x * 7) + -6x = 4(x + 10) (42 + 7x) + -6x = 4(x + 10) Combine like terms: 7x + -6x = 1x 42 + 1x = 4(x + 10) Reorder the terms: 42 + 1x = 4(10 + x) 42 + 1x = (10 * 4 + x * 4) 42 + 1x = (40 + 4x) Solving 42 + 1x = 40 + 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. 42 + 1x + -4x = 40 + 4x + -4x Combine like terms: 1x + -4x = -3x 42 + -3x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -3x = 40 + 0 42 + -3x = 40 Add '-42' to each side of the equation. 42 + -42 + -3x = 40 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 40 + -42 -3x = 40 + -42 Combine like terms: 40 + -42 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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