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Simplifying 7 + -3(3x + -7) = 6x + 103 Reorder the terms: 7 + -3(-7 + 3x) = 6x + 103 7 + (-7 * -3 + 3x * -3) = 6x + 103 7 + (21 + -9x) = 6x + 103 Combine like terms: 7 + 21 = 28 28 + -9x = 6x + 103 Reorder the terms: 28 + -9x = 103 + 6x Solving 28 + -9x = 103 + 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. 28 + -9x + -6x = 103 + 6x + -6x Combine like terms: -9x + -6x = -15x 28 + -15x = 103 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -15x = 103 + 0 28 + -15x = 103 Add '-28' to each side of the equation. 28 + -28 + -15x = 103 + -28 Combine like terms: 28 + -28 = 0 0 + -15x = 103 + -28 -15x = 103 + -28 Combine like terms: 103 + -28 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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