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Simplifying 5(x + 10) = 4(x + -12) Reorder the terms: 5(10 + x) = 4(x + -12) (10 * 5 + x * 5) = 4(x + -12) (50 + 5x) = 4(x + -12) Reorder the terms: 50 + 5x = 4(-12 + x) 50 + 5x = (-12 * 4 + x * 4) 50 + 5x = (-48 + 4x) Solving 50 + 5x = -48 + 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. 50 + 5x + -4x = -48 + 4x + -4x Combine like terms: 5x + -4x = 1x 50 + 1x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 50 + 1x = -48 + 0 50 + 1x = -48 Add '-50' to each side of the equation. 50 + -50 + 1x = -48 + -50 Combine like terms: 50 + -50 = 0 0 + 1x = -48 + -50 1x = -48 + -50 Combine like terms: -48 + -50 = -98 1x = -98 Divide each side by '1'. x = -98 Simplifying x = -98
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