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Simplifying 7(x + -3) = 4x + -3(x + 1) Reorder the terms: 7(-3 + x) = 4x + -3(x + 1) (-3 * 7 + x * 7) = 4x + -3(x + 1) (-21 + 7x) = 4x + -3(x + 1) Reorder the terms: -21 + 7x = 4x + -3(1 + x) -21 + 7x = 4x + (1 * -3 + x * -3) -21 + 7x = 4x + (-3 + -3x) Reorder the terms: -21 + 7x = -3 + 4x + -3x Combine like terms: 4x + -3x = 1x -21 + 7x = -3 + 1x Solving -21 + 7x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + 7x + -1x = -3 + 1x + -1x Combine like terms: 7x + -1x = 6x -21 + 6x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -21 + 6x = -3 + 0 -21 + 6x = -3 Add '21' to each side of the equation. -21 + 21 + 6x = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = -3 + 21 6x = -3 + 21 Combine like terms: -3 + 21 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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