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Simplifying -10(-1x + -4) = 5(3x + 0) Reorder the terms: -10(-4 + -1x) = 5(3x + 0) (-4 * -10 + -1x * -10) = 5(3x + 0) (40 + 10x) = 5(3x + 0) Reorder the terms: 40 + 10x = 5(0 + 3x) Remove the zero: 40 + 10x = 5(3x) Remove parenthesis around (3x) 40 + 10x = 5 * 3x Multiply 5 * 3 40 + 10x = 15x Solving 40 + 10x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 40 + 10x + -15x = 15x + -15x Combine like terms: 10x + -15x = -5x 40 + -5x = 15x + -15x Combine like terms: 15x + -15x = 0 40 + -5x = 0 Add '-40' to each side of the equation. 40 + -40 + -5x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = 0 + -40 -5x = 0 + -40 Combine like terms: 0 + -40 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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