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Simplifying 66 = 4(2x + -3) + -2(x + -4) Reorder the terms: 66 = 4(-3 + 2x) + -2(x + -4) 66 = (-3 * 4 + 2x * 4) + -2(x + -4) 66 = (-12 + 8x) + -2(x + -4) Reorder the terms: 66 = -12 + 8x + -2(-4 + x) 66 = -12 + 8x + (-4 * -2 + x * -2) 66 = -12 + 8x + (8 + -2x) Reorder the terms: 66 = -12 + 8 + 8x + -2x Combine like terms: -12 + 8 = -4 66 = -4 + 8x + -2x Combine like terms: 8x + -2x = 6x 66 = -4 + 6x Solving 66 = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 66 + -6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 66 + -6x = -4 + 0 66 + -6x = -4 Add '-66' to each side of the equation. 66 + -66 + -6x = -4 + -66 Combine like terms: 66 + -66 = 0 0 + -6x = -4 + -66 -6x = -4 + -66 Combine like terms: -4 + -66 = -70 -6x = -70 Divide each side by '-6'. x = 11.66666667 Simplifying x = 11.66666667
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