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Simplifying 5x + 12 = (6x) + -1(10) Reorder the terms: 12 + 5x = (6x) + -1(10) Multiply -1 * 10 12 + 5x = (6x) + -10 Reorder the terms: 12 + 5x = -10 + (6x) Solving 12 + 5x = -10 + (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) = -10 + (6x) + (-6x) Combine like terms: 5x + (-6x) = -1x 12 + -1x = -10 + (6x) + (-6x) Combine like terms: (6x) + (-6x) = 0 12 + -1x = -10 + 0 12 + -1x = -10 Add '-12' to each side of the equation. 12 + -12 + -1x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -10 + -12 -1x = -10 + -12 Combine like terms: -10 + -12 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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