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Simplifying 7 + -3(x + 2) + 4(x + -5) = 2(x + -3) + -21 Reorder the terms: 7 + -3(2 + x) + 4(x + -5) = 2(x + -3) + -21 7 + (2 * -3 + x * -3) + 4(x + -5) = 2(x + -3) + -21 7 + (-6 + -3x) + 4(x + -5) = 2(x + -3) + -21 Reorder the terms: 7 + -6 + -3x + 4(-5 + x) = 2(x + -3) + -21 7 + -6 + -3x + (-5 * 4 + x * 4) = 2(x + -3) + -21 7 + -6 + -3x + (-20 + 4x) = 2(x + -3) + -21 Reorder the terms: 7 + -6 + -20 + -3x + 4x = 2(x + -3) + -21 Combine like terms: 7 + -6 = 1 1 + -20 + -3x + 4x = 2(x + -3) + -21 Combine like terms: 1 + -20 = -19 -19 + -3x + 4x = 2(x + -3) + -21 Combine like terms: -3x + 4x = 1x -19 + 1x = 2(x + -3) + -21 Reorder the terms: -19 + 1x = 2(-3 + x) + -21 -19 + 1x = (-3 * 2 + x * 2) + -21 -19 + 1x = (-6 + 2x) + -21 Reorder the terms: -19 + 1x = -6 + -21 + 2x Combine like terms: -6 + -21 = -27 -19 + 1x = -27 + 2x Solving -19 + 1x = -27 + 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. -19 + 1x + -2x = -27 + 2x + -2x Combine like terms: 1x + -2x = -1x -19 + -1x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + -1x = -27 + 0 -19 + -1x = -27 Add '19' to each side of the equation. -19 + 19 + -1x = -27 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -27 + 19 -1x = -27 + 19 Combine like terms: -27 + 19 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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