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Simplifying 4(x + 5) + -4(3x + -2) = 90 Reorder the terms: 4(5 + x) + -4(3x + -2) = 90 (5 * 4 + x * 4) + -4(3x + -2) = 90 (20 + 4x) + -4(3x + -2) = 90 Reorder the terms: 20 + 4x + -4(-2 + 3x) = 90 20 + 4x + (-2 * -4 + 3x * -4) = 90 20 + 4x + (8 + -12x) = 90 Reorder the terms: 20 + 8 + 4x + -12x = 90 Combine like terms: 20 + 8 = 28 28 + 4x + -12x = 90 Combine like terms: 4x + -12x = -8x 28 + -8x = 90 Solving 28 + -8x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -8x = 90 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = 90 + -28 -8x = 90 + -28 Combine like terms: 90 + -28 = 62 -8x = 62 Divide each side by '-8'. x = -7.75 Simplifying x = -7.75
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