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Simplifying 16 + 2(x + -5) = 3x + -4(x + 3) Reorder the terms: 16 + 2(-5 + x) = 3x + -4(x + 3) 16 + (-5 * 2 + x * 2) = 3x + -4(x + 3) 16 + (-10 + 2x) = 3x + -4(x + 3) Combine like terms: 16 + -10 = 6 6 + 2x = 3x + -4(x + 3) Reorder the terms: 6 + 2x = 3x + -4(3 + x) 6 + 2x = 3x + (3 * -4 + x * -4) 6 + 2x = 3x + (-12 + -4x) Reorder the terms: 6 + 2x = -12 + 3x + -4x Combine like terms: 3x + -4x = -1x 6 + 2x = -12 + -1x Solving 6 + 2x = -12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 2x + x = -12 + -1x + x Combine like terms: 2x + x = 3x 6 + 3x = -12 + -1x + x Combine like terms: -1x + x = 0 6 + 3x = -12 + 0 6 + 3x = -12 Add '-6' to each side of the equation. 6 + -6 + 3x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -12 + -6 3x = -12 + -6 Combine like terms: -12 + -6 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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