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Simplifying -4(x + 5) + 4(-3) = -3x + 5(-10) Reorder the terms: -4(5 + x) + 4(-3) = -3x + 5(-10) (5 * -4 + x * -4) + 4(-3) = -3x + 5(-10) (-20 + -4x) + 4(-3) = -3x + 5(-10) Multiply 4 * -3 -20 + -4x + -12 = -3x + 5(-10) Reorder the terms: -20 + -12 + -4x = -3x + 5(-10) Combine like terms: -20 + -12 = -32 -32 + -4x = -3x + 5(-10) Multiply 5 * -10 -32 + -4x = -3x + -50 Reorder the terms: -32 + -4x = -50 + -3x Solving -32 + -4x = -50 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -32 + -4x + 3x = -50 + -3x + 3x Combine like terms: -4x + 3x = -1x -32 + -1x = -50 + -3x + 3x Combine like terms: -3x + 3x = 0 -32 + -1x = -50 + 0 -32 + -1x = -50 Add '32' to each side of the equation. -32 + 32 + -1x = -50 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = -50 + 32 -1x = -50 + 32 Combine like terms: -50 + 32 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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