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Simplifying 4[x + 2(3x + -7)] = 22x + -65 Reorder the terms: 4[x + 2(-7 + 3x)] = 22x + -65 4[x + (-7 * 2 + 3x * 2)] = 22x + -65 4[x + (-14 + 6x)] = 22x + -65 Reorder the terms: 4[-14 + x + 6x] = 22x + -65 Combine like terms: x + 6x = 7x 4[-14 + 7x] = 22x + -65 [-14 * 4 + 7x * 4] = 22x + -65 [-56 + 28x] = 22x + -65 Reorder the terms: -56 + 28x = -65 + 22x Solving -56 + 28x = -65 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -56 + 28x + -22x = -65 + 22x + -22x Combine like terms: 28x + -22x = 6x -56 + 6x = -65 + 22x + -22x Combine like terms: 22x + -22x = 0 -56 + 6x = -65 + 0 -56 + 6x = -65 Add '56' to each side of the equation. -56 + 56 + 6x = -65 + 56 Combine like terms: -56 + 56 = 0 0 + 6x = -65 + 56 6x = -65 + 56 Combine like terms: -65 + 56 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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