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Simplifying 5x + 178 = 15x + -12 Reorder the terms: 178 + 5x = 15x + -12 Reorder the terms: 178 + 5x = -12 + 15x Solving 178 + 5x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 178 + 5x + -15x = -12 + 15x + -15x Combine like terms: 5x + -15x = -10x 178 + -10x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 178 + -10x = -12 + 0 178 + -10x = -12 Add '-178' to each side of the equation. 178 + -178 + -10x = -12 + -178 Combine like terms: 178 + -178 = 0 0 + -10x = -12 + -178 -10x = -12 + -178 Combine like terms: -12 + -178 = -190 -10x = -190 Divide each side by '-10'. x = 19 Simplifying x = 19
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