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Simplifying 5x + 12 = 2x + 3 + 4x + -18 Reorder the terms: 12 + 5x = 2x + 3 + 4x + -18 Reorder the terms: 12 + 5x = 3 + -18 + 2x + 4x Combine like terms: 3 + -18 = -15 12 + 5x = -15 + 2x + 4x Combine like terms: 2x + 4x = 6x 12 + 5x = -15 + 6x Solving 12 + 5x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 5x + -6x = -15 + 6x + -6x Combine like terms: 5x + -6x = -1x 12 + -1x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -1x = -15 + 0 12 + -1x = -15 Add '-12' to each side of the equation. 12 + -12 + -1x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -15 + -12 -1x = -15 + -12 Combine like terms: -15 + -12 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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