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Simplifying 4x + -7(x + 3) = -30 + -2x Reorder the terms: 4x + -7(3 + x) = -30 + -2x 4x + (3 * -7 + x * -7) = -30 + -2x 4x + (-21 + -7x) = -30 + -2x Reorder the terms: -21 + 4x + -7x = -30 + -2x Combine like terms: 4x + -7x = -3x -21 + -3x = -30 + -2x Solving -21 + -3x = -30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -21 + -3x + 2x = -30 + -2x + 2x Combine like terms: -3x + 2x = -1x -21 + -1x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + -1x = -30 + 0 -21 + -1x = -30 Add '21' to each side of the equation. -21 + 21 + -1x = -30 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -30 + 21 -1x = -30 + 21 Combine like terms: -30 + 21 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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