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Simplifying 4(4x + -4) + 38 = 10x + -2 Reorder the terms: 4(-4 + 4x) + 38 = 10x + -2 (-4 * 4 + 4x * 4) + 38 = 10x + -2 (-16 + 16x) + 38 = 10x + -2 Reorder the terms: -16 + 38 + 16x = 10x + -2 Combine like terms: -16 + 38 = 22 22 + 16x = 10x + -2 Reorder the terms: 22 + 16x = -2 + 10x Solving 22 + 16x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 22 + 16x + -10x = -2 + 10x + -10x Combine like terms: 16x + -10x = 6x 22 + 6x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + 6x = -2 + 0 22 + 6x = -2 Add '-22' to each side of the equation. 22 + -22 + 6x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = -2 + -22 6x = -2 + -22 Combine like terms: -2 + -22 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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