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Simplifying 3(5x + -7) + 2(9x + -11) = 4(8x + -7) + -111 Reorder the terms: 3(-7 + 5x) + 2(9x + -11) = 4(8x + -7) + -111 (-7 * 3 + 5x * 3) + 2(9x + -11) = 4(8x + -7) + -111 (-21 + 15x) + 2(9x + -11) = 4(8x + -7) + -111 Reorder the terms: -21 + 15x + 2(-11 + 9x) = 4(8x + -7) + -111 -21 + 15x + (-11 * 2 + 9x * 2) = 4(8x + -7) + -111 -21 + 15x + (-22 + 18x) = 4(8x + -7) + -111 Reorder the terms: -21 + -22 + 15x + 18x = 4(8x + -7) + -111 Combine like terms: -21 + -22 = -43 -43 + 15x + 18x = 4(8x + -7) + -111 Combine like terms: 15x + 18x = 33x -43 + 33x = 4(8x + -7) + -111 Reorder the terms: -43 + 33x = 4(-7 + 8x) + -111 -43 + 33x = (-7 * 4 + 8x * 4) + -111 -43 + 33x = (-28 + 32x) + -111 Reorder the terms: -43 + 33x = -28 + -111 + 32x Combine like terms: -28 + -111 = -139 -43 + 33x = -139 + 32x Solving -43 + 33x = -139 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -43 + 33x + -32x = -139 + 32x + -32x Combine like terms: 33x + -32x = 1x -43 + 1x = -139 + 32x + -32x Combine like terms: 32x + -32x = 0 -43 + 1x = -139 + 0 -43 + 1x = -139 Add '43' to each side of the equation. -43 + 43 + 1x = -139 + 43 Combine like terms: -43 + 43 = 0 0 + 1x = -139 + 43 1x = -139 + 43 Combine like terms: -139 + 43 = -96 1x = -96 Divide each side by '1'. x = -96 Simplifying x = -96
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