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Simplifying 10(x + -3) = 4(3x + -8) Reorder the terms: 10(-3 + x) = 4(3x + -8) (-3 * 10 + x * 10) = 4(3x + -8) (-30 + 10x) = 4(3x + -8) Reorder the terms: -30 + 10x = 4(-8 + 3x) -30 + 10x = (-8 * 4 + 3x * 4) -30 + 10x = (-32 + 12x) Solving -30 + 10x = -32 + 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 + 10x + -12x = -32 + 12x + -12x Combine like terms: 10x + -12x = -2x -30 + -2x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + -2x = -32 + 0 -30 + -2x = -32 Add '30' to each side of the equation. -30 + 30 + -2x = -32 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = -32 + 30 -2x = -32 + 30 Combine like terms: -32 + 30 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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