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Simplifying 4(x + 3) + -1(x + -1) = 64 Reorder the terms: 4(3 + x) + -1(x + -1) = 64 (3 * 4 + x * 4) + -1(x + -1) = 64 (12 + 4x) + -1(x + -1) = 64 Reorder the terms: 12 + 4x + -1(-1 + x) = 64 12 + 4x + (-1 * -1 + x * -1) = 64 12 + 4x + (1 + -1x) = 64 Reorder the terms: 12 + 1 + 4x + -1x = 64 Combine like terms: 12 + 1 = 13 13 + 4x + -1x = 64 Combine like terms: 4x + -1x = 3x 13 + 3x = 64 Solving 13 + 3x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3x = 64 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 64 + -13 3x = 64 + -13 Combine like terms: 64 + -13 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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