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Simplifying 3(5x + -7) + -2(9x + -11) = 4(8x + -13) + -17 Reorder the terms: 3(-7 + 5x) + -2(9x + -11) = 4(8x + -13) + -17 (-7 * 3 + 5x * 3) + -2(9x + -11) = 4(8x + -13) + -17 (-21 + 15x) + -2(9x + -11) = 4(8x + -13) + -17 Reorder the terms: -21 + 15x + -2(-11 + 9x) = 4(8x + -13) + -17 -21 + 15x + (-11 * -2 + 9x * -2) = 4(8x + -13) + -17 -21 + 15x + (22 + -18x) = 4(8x + -13) + -17 Reorder the terms: -21 + 22 + 15x + -18x = 4(8x + -13) + -17 Combine like terms: -21 + 22 = 1 1 + 15x + -18x = 4(8x + -13) + -17 Combine like terms: 15x + -18x = -3x 1 + -3x = 4(8x + -13) + -17 Reorder the terms: 1 + -3x = 4(-13 + 8x) + -17 1 + -3x = (-13 * 4 + 8x * 4) + -17 1 + -3x = (-52 + 32x) + -17 Reorder the terms: 1 + -3x = -52 + -17 + 32x Combine like terms: -52 + -17 = -69 1 + -3x = -69 + 32x Solving 1 + -3x = -69 + 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. 1 + -3x + -32x = -69 + 32x + -32x Combine like terms: -3x + -32x = -35x 1 + -35x = -69 + 32x + -32x Combine like terms: 32x + -32x = 0 1 + -35x = -69 + 0 1 + -35x = -69 Add '-1' to each side of the equation. 1 + -1 + -35x = -69 + -1 Combine like terms: 1 + -1 = 0 0 + -35x = -69 + -1 -35x = -69 + -1 Combine like terms: -69 + -1 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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