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Simplifying 9x + 3(x + -4) = 10(x + -5) + 5 Reorder the terms: 9x + 3(-4 + x) = 10(x + -5) + 5 9x + (-4 * 3 + x * 3) = 10(x + -5) + 5 9x + (-12 + 3x) = 10(x + -5) + 5 Reorder the terms: -12 + 9x + 3x = 10(x + -5) + 5 Combine like terms: 9x + 3x = 12x -12 + 12x = 10(x + -5) + 5 Reorder the terms: -12 + 12x = 10(-5 + x) + 5 -12 + 12x = (-5 * 10 + x * 10) + 5 -12 + 12x = (-50 + 10x) + 5 Reorder the terms: -12 + 12x = -50 + 5 + 10x Combine like terms: -50 + 5 = -45 -12 + 12x = -45 + 10x Solving -12 + 12x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 12x + -10x = -45 + 10x + -10x Combine like terms: 12x + -10x = 2x -12 + 2x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 2x = -45 + 0 -12 + 2x = -45 Add '12' to each side of the equation. -12 + 12 + 2x = -45 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -45 + 12 2x = -45 + 12 Combine like terms: -45 + 12 = -33 2x = -33 Divide each side by '2'. x = -16.5 Simplifying x = -16.5
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