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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 = -20 66 = -20 + 8x + 2x Combine like terms: 8x + 2x = 10x 66 = -20 + 10x Solving 66 = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 66 + -10x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 66 + -10x = -20 + 0 66 + -10x = -20 Add '-66' to each side of the equation. 66 + -66 + -10x = -20 + -66 Combine like terms: 66 + -66 = 0 0 + -10x = -20 + -66 -10x = -20 + -66 Combine like terms: -20 + -66 = -86 -10x = -86 Divide each side by '-10'. x = 8.6 Simplifying x = 8.6
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