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Simplifying 63 + -1(3x + 16) = 3(x + 4) + x Reorder the terms: 63 + -1(16 + 3x) = 3(x + 4) + x 63 + (16 * -1 + 3x * -1) = 3(x + 4) + x 63 + (-16 + -3x) = 3(x + 4) + x Combine like terms: 63 + -16 = 47 47 + -3x = 3(x + 4) + x Reorder the terms: 47 + -3x = 3(4 + x) + x 47 + -3x = (4 * 3 + x * 3) + x 47 + -3x = (12 + 3x) + x Combine like terms: 3x + x = 4x 47 + -3x = 12 + 4x Solving 47 + -3x = 12 + 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. 47 + -3x + -4x = 12 + 4x + -4x Combine like terms: -3x + -4x = -7x 47 + -7x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + -7x = 12 + 0 47 + -7x = 12 Add '-47' to each side of the equation. 47 + -47 + -7x = 12 + -47 Combine like terms: 47 + -47 = 0 0 + -7x = 12 + -47 -7x = 12 + -47 Combine like terms: 12 + -47 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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