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Simplifying 4(4x + -9) + -6 = 4(x + -3) + 54 Reorder the terms: 4(-9 + 4x) + -6 = 4(x + -3) + 54 (-9 * 4 + 4x * 4) + -6 = 4(x + -3) + 54 (-36 + 16x) + -6 = 4(x + -3) + 54 Reorder the terms: -36 + -6 + 16x = 4(x + -3) + 54 Combine like terms: -36 + -6 = -42 -42 + 16x = 4(x + -3) + 54 Reorder the terms: -42 + 16x = 4(-3 + x) + 54 -42 + 16x = (-3 * 4 + x * 4) + 54 -42 + 16x = (-12 + 4x) + 54 Reorder the terms: -42 + 16x = -12 + 54 + 4x Combine like terms: -12 + 54 = 42 -42 + 16x = 42 + 4x Solving -42 + 16x = 42 + 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. -42 + 16x + -4x = 42 + 4x + -4x Combine like terms: 16x + -4x = 12x -42 + 12x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 12x = 42 + 0 -42 + 12x = 42 Add '42' to each side of the equation. -42 + 42 + 12x = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 42 + 42 12x = 42 + 42 Combine like terms: 42 + 42 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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