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Simplifying 4(x + 5) + -2x = 9x + 3(x + -5) Reorder the terms: 4(5 + x) + -2x = 9x + 3(x + -5) (5 * 4 + x * 4) + -2x = 9x + 3(x + -5) (20 + 4x) + -2x = 9x + 3(x + -5) Combine like terms: 4x + -2x = 2x 20 + 2x = 9x + 3(x + -5) Reorder the terms: 20 + 2x = 9x + 3(-5 + x) 20 + 2x = 9x + (-5 * 3 + x * 3) 20 + 2x = 9x + (-15 + 3x) Reorder the terms: 20 + 2x = -15 + 9x + 3x Combine like terms: 9x + 3x = 12x 20 + 2x = -15 + 12x Solving 20 + 2x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 2x + -12x = -15 + 12x + -12x Combine like terms: 2x + -12x = -10x 20 + -10x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -10x = -15 + 0 20 + -10x = -15 Add '-20' to each side of the equation. 20 + -20 + -10x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -15 + -20 -10x = -15 + -20 Combine like terms: -15 + -20 = -35 -10x = -35 Divide each side by '-10'. x = 3.5 Simplifying x = 3.5
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