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Simplifying 4(7 + -3x) = 16 + -3(3x + 1) (7 * 4 + -3x * 4) = 16 + -3(3x + 1) (28 + -12x) = 16 + -3(3x + 1) Reorder the terms: 28 + -12x = 16 + -3(1 + 3x) 28 + -12x = 16 + (1 * -3 + 3x * -3) 28 + -12x = 16 + (-3 + -9x) Combine like terms: 16 + -3 = 13 28 + -12x = 13 + -9x Solving 28 + -12x = 13 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 28 + -12x + 9x = 13 + -9x + 9x Combine like terms: -12x + 9x = -3x 28 + -3x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 28 + -3x = 13 + 0 28 + -3x = 13 Add '-28' to each side of the equation. 28 + -28 + -3x = 13 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 13 + -28 -3x = 13 + -28 Combine like terms: 13 + -28 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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