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Simplifying (x + 12) * 4 = 90 + -2x Reorder the terms: (12 + x) * 4 = 90 + -2x Reorder the terms for easier multiplication: 4(12 + x) = 90 + -2x (12 * 4 + x * 4) = 90 + -2x (48 + 4x) = 90 + -2x Solving 48 + 4x = 90 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 48 + 4x + 2x = 90 + -2x + 2x Combine like terms: 4x + 2x = 6x 48 + 6x = 90 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 6x = 90 + 0 48 + 6x = 90 Add '-48' to each side of the equation. 48 + -48 + 6x = 90 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 90 + -48 6x = 90 + -48 Combine like terms: 90 + -48 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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