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Simplifying 3(x + -7) + 3 = 2(x + -7) + 1 Reorder the terms: 3(-7 + x) + 3 = 2(x + -7) + 1 (-7 * 3 + x * 3) + 3 = 2(x + -7) + 1 (-21 + 3x) + 3 = 2(x + -7) + 1 Reorder the terms: -21 + 3 + 3x = 2(x + -7) + 1 Combine like terms: -21 + 3 = -18 -18 + 3x = 2(x + -7) + 1 Reorder the terms: -18 + 3x = 2(-7 + x) + 1 -18 + 3x = (-7 * 2 + x * 2) + 1 -18 + 3x = (-14 + 2x) + 1 Reorder the terms: -18 + 3x = -14 + 1 + 2x Combine like terms: -14 + 1 = -13 -18 + 3x = -13 + 2x Solving -18 + 3x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 3x + -2x = -13 + 2x + -2x Combine like terms: 3x + -2x = 1x -18 + 1x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 1x = -13 + 0 -18 + 1x = -13 Add '18' to each side of the equation. -18 + 18 + 1x = -13 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -13 + 18 1x = -13 + 18 Combine like terms: -13 + 18 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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