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Simplifying 16 = 4(x + -2) + -1(x + -6) Reorder the terms: 16 = 4(-2 + x) + -1(x + -6) 16 = (-2 * 4 + x * 4) + -1(x + -6) 16 = (-8 + 4x) + -1(x + -6) Reorder the terms: 16 = -8 + 4x + -1(-6 + x) 16 = -8 + 4x + (-6 * -1 + x * -1) 16 = -8 + 4x + (6 + -1x) Reorder the terms: 16 = -8 + 6 + 4x + -1x Combine like terms: -8 + 6 = -2 16 = -2 + 4x + -1x Combine like terms: 4x + -1x = 3x 16 = -2 + 3x Solving 16 = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + -3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -3x = -2 + 0 16 + -3x = -2 Add '-16' to each side of the equation. 16 + -16 + -3x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = -2 + -16 -3x = -2 + -16 Combine like terms: -2 + -16 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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