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Simplifying 4(4x) + 7 = 9x + -5(x + -6) Remove parenthesis around (4x) 4 * 4x + 7 = 9x + -5(x + -6) Multiply 4 * 4 16x + 7 = 9x + -5(x + -6) Reorder the terms: 7 + 16x = 9x + -5(x + -6) Reorder the terms: 7 + 16x = 9x + -5(-6 + x) 7 + 16x = 9x + (-6 * -5 + x * -5) 7 + 16x = 9x + (30 + -5x) Reorder the terms: 7 + 16x = 30 + 9x + -5x Combine like terms: 9x + -5x = 4x 7 + 16x = 30 + 4x Solving 7 + 16x = 30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 16x + -4x = 30 + 4x + -4x Combine like terms: 16x + -4x = 12x 7 + 12x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 12x = 30 + 0 7 + 12x = 30 Add '-7' to each side of the equation. 7 + -7 + 12x = 30 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 30 + -7 12x = 30 + -7 Combine like terms: 30 + -7 = 23 12x = 23 Divide each side by '12'. x = 1.916666667 Simplifying x = 1.916666667
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