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Simplifying 4(4x + -7) = 3(5x + 7) + -35 Reorder the terms: 4(-7 + 4x) = 3(5x + 7) + -35 (-7 * 4 + 4x * 4) = 3(5x + 7) + -35 (-28 + 16x) = 3(5x + 7) + -35 Reorder the terms: -28 + 16x = 3(7 + 5x) + -35 -28 + 16x = (7 * 3 + 5x * 3) + -35 -28 + 16x = (21 + 15x) + -35 Reorder the terms: -28 + 16x = 21 + -35 + 15x Combine like terms: 21 + -35 = -14 -28 + 16x = -14 + 15x Solving -28 + 16x = -14 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -28 + 16x + -15x = -14 + 15x + -15x Combine like terms: 16x + -15x = 1x -28 + 1x = -14 + 15x + -15x Combine like terms: 15x + -15x = 0 -28 + 1x = -14 + 0 -28 + 1x = -14 Add '28' to each side of the equation. -28 + 28 + 1x = -14 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = -14 + 28 1x = -14 + 28 Combine like terms: -14 + 28 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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