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Simplifying 3(x + -7) + -4(x + -8) + -9(x + -5) = 2 Reorder the terms: 3(-7 + x) + -4(x + -8) + -9(x + -5) = 2 (-7 * 3 + x * 3) + -4(x + -8) + -9(x + -5) = 2 (-21 + 3x) + -4(x + -8) + -9(x + -5) = 2 Reorder the terms: -21 + 3x + -4(-8 + x) + -9(x + -5) = 2 -21 + 3x + (-8 * -4 + x * -4) + -9(x + -5) = 2 -21 + 3x + (32 + -4x) + -9(x + -5) = 2 Reorder the terms: -21 + 3x + 32 + -4x + -9(-5 + x) = 2 -21 + 3x + 32 + -4x + (-5 * -9 + x * -9) = 2 -21 + 3x + 32 + -4x + (45 + -9x) = 2 Reorder the terms: -21 + 32 + 45 + 3x + -4x + -9x = 2 Combine like terms: -21 + 32 = 11 11 + 45 + 3x + -4x + -9x = 2 Combine like terms: 11 + 45 = 56 56 + 3x + -4x + -9x = 2 Combine like terms: 3x + -4x = -1x 56 + -1x + -9x = 2 Combine like terms: -1x + -9x = -10x 56 + -10x = 2 Solving 56 + -10x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -10x = 2 + -56 Combine like terms: 56 + -56 = 0 0 + -10x = 2 + -56 -10x = 2 + -56 Combine like terms: 2 + -56 = -54 -10x = -54 Divide each side by '-10'. x = 5.4 Simplifying x = 5.4
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