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Simplifying 16 + -8(x + 1) = 14 + -6(x + 3) Reorder the terms: 16 + -8(1 + x) = 14 + -6(x + 3) 16 + (1 * -8 + x * -8) = 14 + -6(x + 3) 16 + (-8 + -8x) = 14 + -6(x + 3) Combine like terms: 16 + -8 = 8 8 + -8x = 14 + -6(x + 3) Reorder the terms: 8 + -8x = 14 + -6(3 + x) 8 + -8x = 14 + (3 * -6 + x * -6) 8 + -8x = 14 + (-18 + -6x) Combine like terms: 14 + -18 = -4 8 + -8x = -4 + -6x Solving 8 + -8x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -8x + 6x = -4 + -6x + 6x Combine like terms: -8x + 6x = -2x 8 + -2x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + -2x = -4 + 0 8 + -2x = -4 Add '-8' to each side of the equation. 8 + -8 + -2x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -4 + -8 -2x = -4 + -8 Combine like terms: -4 + -8 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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