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Simplifying 3(x + -7) + 7 = 3x + -7(7 + -1x) Reorder the terms: 3(-7 + x) + 7 = 3x + -7(7 + -1x) (-7 * 3 + x * 3) + 7 = 3x + -7(7 + -1x) (-21 + 3x) + 7 = 3x + -7(7 + -1x) Reorder the terms: -21 + 7 + 3x = 3x + -7(7 + -1x) Combine like terms: -21 + 7 = -14 -14 + 3x = 3x + -7(7 + -1x) -14 + 3x = 3x + (7 * -7 + -1x * -7) -14 + 3x = 3x + (-49 + 7x) Reorder the terms: -14 + 3x = -49 + 3x + 7x Combine like terms: 3x + 7x = 10x -14 + 3x = -49 + 10x Solving -14 + 3x = -49 + 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. -14 + 3x + -10x = -49 + 10x + -10x Combine like terms: 3x + -10x = -7x -14 + -7x = -49 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + -7x = -49 + 0 -14 + -7x = -49 Add '14' to each side of the equation. -14 + 14 + -7x = -49 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = -49 + 14 -7x = -49 + 14 Combine like terms: -49 + 14 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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