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Simplifying 14 + 22(3x + -4) = 3(x + 4) Reorder the terms: 14 + 22(-4 + 3x) = 3(x + 4) 14 + (-4 * 22 + 3x * 22) = 3(x + 4) 14 + (-88 + 66x) = 3(x + 4) Combine like terms: 14 + -88 = -74 -74 + 66x = 3(x + 4) Reorder the terms: -74 + 66x = 3(4 + x) -74 + 66x = (4 * 3 + x * 3) -74 + 66x = (12 + 3x) Solving -74 + 66x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -74 + 66x + -3x = 12 + 3x + -3x Combine like terms: 66x + -3x = 63x -74 + 63x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -74 + 63x = 12 + 0 -74 + 63x = 12 Add '74' to each side of the equation. -74 + 74 + 63x = 12 + 74 Combine like terms: -74 + 74 = 0 0 + 63x = 12 + 74 63x = 12 + 74 Combine like terms: 12 + 74 = 86 63x = 86 Divide each side by '63'. x = 1.365079365 Simplifying x = 1.365079365
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