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Simplifying 10(x + -6) = -4(x + 44) Reorder the terms: 10(-6 + x) = -4(x + 44) (-6 * 10 + x * 10) = -4(x + 44) (-60 + 10x) = -4(x + 44) Reorder the terms: -60 + 10x = -4(44 + x) -60 + 10x = (44 * -4 + x * -4) -60 + 10x = (-176 + -4x) Solving -60 + 10x = -176 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -60 + 10x + 4x = -176 + -4x + 4x Combine like terms: 10x + 4x = 14x -60 + 14x = -176 + -4x + 4x Combine like terms: -4x + 4x = 0 -60 + 14x = -176 + 0 -60 + 14x = -176 Add '60' to each side of the equation. -60 + 60 + 14x = -176 + 60 Combine like terms: -60 + 60 = 0 0 + 14x = -176 + 60 14x = -176 + 60 Combine like terms: -176 + 60 = -116 14x = -116 Divide each side by '14'. x = -8.285714286 Simplifying x = -8.285714286
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