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Simplifying 3x + -3(2x + -7) = 4(3x + 1) + -13 Reorder the terms: 3x + -3(-7 + 2x) = 4(3x + 1) + -13 3x + (-7 * -3 + 2x * -3) = 4(3x + 1) + -13 3x + (21 + -6x) = 4(3x + 1) + -13 Reorder the terms: 21 + 3x + -6x = 4(3x + 1) + -13 Combine like terms: 3x + -6x = -3x 21 + -3x = 4(3x + 1) + -13 Reorder the terms: 21 + -3x = 4(1 + 3x) + -13 21 + -3x = (1 * 4 + 3x * 4) + -13 21 + -3x = (4 + 12x) + -13 Reorder the terms: 21 + -3x = 4 + -13 + 12x Combine like terms: 4 + -13 = -9 21 + -3x = -9 + 12x Solving 21 + -3x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + -3x + -12x = -9 + 12x + -12x Combine like terms: -3x + -12x = -15x 21 + -15x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -15x = -9 + 0 21 + -15x = -9 Add '-21' to each side of the equation. 21 + -21 + -15x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -15x = -9 + -21 -15x = -9 + -21 Combine like terms: -9 + -21 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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