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Simplifying 7(6x + 9) + -2(x + -4) = 6 + 4x Reorder the terms: 7(9 + 6x) + -2(x + -4) = 6 + 4x (9 * 7 + 6x * 7) + -2(x + -4) = 6 + 4x (63 + 42x) + -2(x + -4) = 6 + 4x Reorder the terms: 63 + 42x + -2(-4 + x) = 6 + 4x 63 + 42x + (-4 * -2 + x * -2) = 6 + 4x 63 + 42x + (8 + -2x) = 6 + 4x Reorder the terms: 63 + 8 + 42x + -2x = 6 + 4x Combine like terms: 63 + 8 = 71 71 + 42x + -2x = 6 + 4x Combine like terms: 42x + -2x = 40x 71 + 40x = 6 + 4x Solving 71 + 40x = 6 + 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. 71 + 40x + -4x = 6 + 4x + -4x Combine like terms: 40x + -4x = 36x 71 + 36x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 71 + 36x = 6 + 0 71 + 36x = 6 Add '-71' to each side of the equation. 71 + -71 + 36x = 6 + -71 Combine like terms: 71 + -71 = 0 0 + 36x = 6 + -71 36x = 6 + -71 Combine like terms: 6 + -71 = -65 36x = -65 Divide each side by '36'. x = -1.805555556 Simplifying x = -1.805555556
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