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Simplifying 7(9x + -4) = 4(3x + 17) Reorder the terms: 7(-4 + 9x) = 4(3x + 17) (-4 * 7 + 9x * 7) = 4(3x + 17) (-28 + 63x) = 4(3x + 17) Reorder the terms: -28 + 63x = 4(17 + 3x) -28 + 63x = (17 * 4 + 3x * 4) -28 + 63x = (68 + 12x) Solving -28 + 63x = 68 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -28 + 63x + -12x = 68 + 12x + -12x Combine like terms: 63x + -12x = 51x -28 + 51x = 68 + 12x + -12x Combine like terms: 12x + -12x = 0 -28 + 51x = 68 + 0 -28 + 51x = 68 Add '28' to each side of the equation. -28 + 28 + 51x = 68 + 28 Combine like terms: -28 + 28 = 0 0 + 51x = 68 + 28 51x = 68 + 28 Combine like terms: 68 + 28 = 96 51x = 96 Divide each side by '51'. x = 1.882352941 Simplifying x = 1.882352941
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