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Simplifying 4(4x + -4) + -36 = 10x + -4 Reorder the terms: 4(-4 + 4x) + -36 = 10x + -4 (-4 * 4 + 4x * 4) + -36 = 10x + -4 (-16 + 16x) + -36 = 10x + -4 Reorder the terms: -16 + -36 + 16x = 10x + -4 Combine like terms: -16 + -36 = -52 -52 + 16x = 10x + -4 Reorder the terms: -52 + 16x = -4 + 10x Solving -52 + 16x = -4 + 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. -52 + 16x + -10x = -4 + 10x + -10x Combine like terms: 16x + -10x = 6x -52 + 6x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -52 + 6x = -4 + 0 -52 + 6x = -4 Add '52' to each side of the equation. -52 + 52 + 6x = -4 + 52 Combine like terms: -52 + 52 = 0 0 + 6x = -4 + 52 6x = -4 + 52 Combine like terms: -4 + 52 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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