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Simplifying 6x + -2 = 7(x + -3) + 19 Reorder the terms: -2 + 6x = 7(x + -3) + 19 Reorder the terms: -2 + 6x = 7(-3 + x) + 19 -2 + 6x = (-3 * 7 + x * 7) + 19 -2 + 6x = (-21 + 7x) + 19 Reorder the terms: -2 + 6x = -21 + 19 + 7x Combine like terms: -21 + 19 = -2 -2 + 6x = -2 + 7x Add '2' to each side of the equation. -2 + 2 + 6x = -2 + 2 + 7x Combine like terms: -2 + 2 = 0 0 + 6x = -2 + 2 + 7x 6x = -2 + 2 + 7x Combine like terms: -2 + 2 = 0 6x = 0 + 7x 6x = 7x Solving 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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