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Simplifying 4(x + -4) = 10(x + -5) Reorder the terms: 4(-4 + x) = 10(x + -5) (-4 * 4 + x * 4) = 10(x + -5) (-16 + 4x) = 10(x + -5) Reorder the terms: -16 + 4x = 10(-5 + x) -16 + 4x = (-5 * 10 + x * 10) -16 + 4x = (-50 + 10x) Solving -16 + 4x = -50 + 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. -16 + 4x + -10x = -50 + 10x + -10x Combine like terms: 4x + -10x = -6x -16 + -6x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -6x = -50 + 0 -16 + -6x = -50 Add '16' to each side of the equation. -16 + 16 + -6x = -50 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = -50 + 16 -6x = -50 + 16 Combine like terms: -50 + 16 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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