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Simplifying 6(x + -5) + -4x = 3(4x + -5) Reorder the terms: 6(-5 + x) + -4x = 3(4x + -5) (-5 * 6 + x * 6) + -4x = 3(4x + -5) (-30 + 6x) + -4x = 3(4x + -5) Combine like terms: 6x + -4x = 2x -30 + 2x = 3(4x + -5) Reorder the terms: -30 + 2x = 3(-5 + 4x) -30 + 2x = (-5 * 3 + 4x * 3) -30 + 2x = (-15 + 12x) Solving -30 + 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. -30 + 2x + -12x = -15 + 12x + -12x Combine like terms: 2x + -12x = -10x -30 + -10x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -10x = -15 + 0 -30 + -10x = -15 Add '30' to each side of the equation. -30 + 30 + -10x = -15 + 30 Combine like terms: -30 + 30 = 0 0 + -10x = -15 + 30 -10x = -15 + 30 Combine like terms: -15 + 30 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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