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Simplifying 6x + 10 = 6x + -77 + 4x + 7 Reorder the terms: 10 + 6x = 6x + -77 + 4x + 7 Reorder the terms: 10 + 6x = -77 + 7 + 6x + 4x Combine like terms: -77 + 7 = -70 10 + 6x = -70 + 6x + 4x Combine like terms: 6x + 4x = 10x 10 + 6x = -70 + 10x Solving 10 + 6x = -70 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 6x + -10x = -70 + 10x + -10x Combine like terms: 6x + -10x = -4x 10 + -4x = -70 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -4x = -70 + 0 10 + -4x = -70 Add '-10' to each side of the equation. 10 + -10 + -4x = -70 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -70 + -10 -4x = -70 + -10 Combine like terms: -70 + -10 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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