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Simplifying 7 + -3(x + -2) = (7 + -1x) * 4 + -4 Reorder the terms: 7 + -3(-2 + x) = (7 + -1x) * 4 + -4 7 + (-2 * -3 + x * -3) = (7 + -1x) * 4 + -4 7 + (6 + -3x) = (7 + -1x) * 4 + -4 Combine like terms: 7 + 6 = 13 13 + -3x = (7 + -1x) * 4 + -4 Reorder the terms for easier multiplication: 13 + -3x = 4(7 + -1x) + -4 13 + -3x = (7 * 4 + -1x * 4) + -4 13 + -3x = (28 + -4x) + -4 Reorder the terms: 13 + -3x = 28 + -4 + -4x Combine like terms: 28 + -4 = 24 13 + -3x = 24 + -4x Solving 13 + -3x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + -3x + 4x = 24 + -4x + 4x Combine like terms: -3x + 4x = 1x 13 + 1x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 1x = 24 + 0 13 + 1x = 24 Add '-13' to each side of the equation. 13 + -13 + 1x = 24 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 24 + -13 1x = 24 + -13 Combine like terms: 24 + -13 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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