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Simplifying 10x + 40 + -9x + -3 = (5x + -4) * 2 Reorder the terms: 40 + -3 + 10x + -9x = (5x + -4) * 2 Combine like terms: 40 + -3 = 37 37 + 10x + -9x = (5x + -4) * 2 Combine like terms: 10x + -9x = 1x 37 + 1x = (5x + -4) * 2 Reorder the terms: 37 + 1x = (-4 + 5x) * 2 Reorder the terms for easier multiplication: 37 + 1x = 2(-4 + 5x) 37 + 1x = (-4 * 2 + 5x * 2) 37 + 1x = (-8 + 10x) Solving 37 + 1x = -8 + 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. 37 + 1x + -10x = -8 + 10x + -10x Combine like terms: 1x + -10x = -9x 37 + -9x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 37 + -9x = -8 + 0 37 + -9x = -8 Add '-37' to each side of the equation. 37 + -37 + -9x = -8 + -37 Combine like terms: 37 + -37 = 0 0 + -9x = -8 + -37 -9x = -8 + -37 Combine like terms: -8 + -37 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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