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Simplifying 1 + -3(x + -4) = 2(3x + 1) + -7 Reorder the terms: 1 + -3(-4 + x) = 2(3x + 1) + -7 1 + (-4 * -3 + x * -3) = 2(3x + 1) + -7 1 + (12 + -3x) = 2(3x + 1) + -7 Combine like terms: 1 + 12 = 13 13 + -3x = 2(3x + 1) + -7 Reorder the terms: 13 + -3x = 2(1 + 3x) + -7 13 + -3x = (1 * 2 + 3x * 2) + -7 13 + -3x = (2 + 6x) + -7 Reorder the terms: 13 + -3x = 2 + -7 + 6x Combine like terms: 2 + -7 = -5 13 + -3x = -5 + 6x Solving 13 + -3x = -5 + 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. 13 + -3x + -6x = -5 + 6x + -6x Combine like terms: -3x + -6x = -9x 13 + -9x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -9x = -5 + 0 13 + -9x = -5 Add '-13' to each side of the equation. 13 + -13 + -9x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -9x = -5 + -13 -9x = -5 + -13 Combine like terms: -5 + -13 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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