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Simplifying 4(x + -3) + 36 = 64 + -2(x + 2) Reorder the terms: 4(-3 + x) + 36 = 64 + -2(x + 2) (-3 * 4 + x * 4) + 36 = 64 + -2(x + 2) (-12 + 4x) + 36 = 64 + -2(x + 2) Reorder the terms: -12 + 36 + 4x = 64 + -2(x + 2) Combine like terms: -12 + 36 = 24 24 + 4x = 64 + -2(x + 2) Reorder the terms: 24 + 4x = 64 + -2(2 + x) 24 + 4x = 64 + (2 * -2 + x * -2) 24 + 4x = 64 + (-4 + -2x) Combine like terms: 64 + -4 = 60 24 + 4x = 60 + -2x Solving 24 + 4x = 60 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + 4x + 2x = 60 + -2x + 2x Combine like terms: 4x + 2x = 6x 24 + 6x = 60 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 6x = 60 + 0 24 + 6x = 60 Add '-24' to each side of the equation. 24 + -24 + 6x = 60 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 60 + -24 6x = 60 + -24 Combine like terms: 60 + -24 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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