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Simplifying 5x + 7 + -3(2x + 9) = 2(x + -8) + -13 Reorder the terms: 5x + 7 + -3(9 + 2x) = 2(x + -8) + -13 5x + 7 + (9 * -3 + 2x * -3) = 2(x + -8) + -13 5x + 7 + (-27 + -6x) = 2(x + -8) + -13 Reorder the terms: 7 + -27 + 5x + -6x = 2(x + -8) + -13 Combine like terms: 7 + -27 = -20 -20 + 5x + -6x = 2(x + -8) + -13 Combine like terms: 5x + -6x = -1x -20 + -1x = 2(x + -8) + -13 Reorder the terms: -20 + -1x = 2(-8 + x) + -13 -20 + -1x = (-8 * 2 + x * 2) + -13 -20 + -1x = (-16 + 2x) + -13 Reorder the terms: -20 + -1x = -16 + -13 + 2x Combine like terms: -16 + -13 = -29 -20 + -1x = -29 + 2x Solving -20 + -1x = -29 + 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. -20 + -1x + -2x = -29 + 2x + -2x Combine like terms: -1x + -2x = -3x -20 + -3x = -29 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -3x = -29 + 0 -20 + -3x = -29 Add '20' to each side of the equation. -20 + 20 + -3x = -29 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = -29 + 20 -3x = -29 + 20 Combine like terms: -29 + 20 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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