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Simplifying 4(2x + -7) = 3(-1x + 1) + -9 Reorder the terms: 4(-7 + 2x) = 3(-1x + 1) + -9 (-7 * 4 + 2x * 4) = 3(-1x + 1) + -9 (-28 + 8x) = 3(-1x + 1) + -9 Reorder the terms: -28 + 8x = 3(1 + -1x) + -9 -28 + 8x = (1 * 3 + -1x * 3) + -9 -28 + 8x = (3 + -3x) + -9 Reorder the terms: -28 + 8x = 3 + -9 + -3x Combine like terms: 3 + -9 = -6 -28 + 8x = -6 + -3x Solving -28 + 8x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 8x + 3x = -6 + -3x + 3x Combine like terms: 8x + 3x = 11x -28 + 11x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 11x = -6 + 0 -28 + 11x = -6 Add '28' to each side of the equation. -28 + 28 + 11x = -6 + 28 Combine like terms: -28 + 28 = 0 0 + 11x = -6 + 28 11x = -6 + 28 Combine like terms: -6 + 28 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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