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Simplifying 4x + -3(2x + 7) = 5(x + 4) + 1 Reorder the terms: 4x + -3(7 + 2x) = 5(x + 4) + 1 4x + (7 * -3 + 2x * -3) = 5(x + 4) + 1 4x + (-21 + -6x) = 5(x + 4) + 1 Reorder the terms: -21 + 4x + -6x = 5(x + 4) + 1 Combine like terms: 4x + -6x = -2x -21 + -2x = 5(x + 4) + 1 Reorder the terms: -21 + -2x = 5(4 + x) + 1 -21 + -2x = (4 * 5 + x * 5) + 1 -21 + -2x = (20 + 5x) + 1 Reorder the terms: -21 + -2x = 20 + 1 + 5x Combine like terms: 20 + 1 = 21 -21 + -2x = 21 + 5x Solving -21 + -2x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + -2x + -5x = 21 + 5x + -5x Combine like terms: -2x + -5x = -7x -21 + -7x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -7x = 21 + 0 -21 + -7x = 21 Add '21' to each side of the equation. -21 + 21 + -7x = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = 21 + 21 -7x = 21 + 21 Combine like terms: 21 + 21 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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