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Simplifying 4(2x + -4) + 1 = 7x Reorder the terms: 4(-4 + 2x) + 1 = 7x (-4 * 4 + 2x * 4) + 1 = 7x (-16 + 8x) + 1 = 7x Reorder the terms: -16 + 1 + 8x = 7x Combine like terms: -16 + 1 = -15 -15 + 8x = 7x Solving -15 + 8x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 8x + -7x = 7x + -7x Combine like terms: 8x + -7x = 1x -15 + 1x = 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 1x = 0 Add '15' to each side of the equation. -15 + 15 + 1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 0 + 15 1x = 0 + 15 Combine like terms: 0 + 15 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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