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