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Simplifying 7x + -4(x + 3) = 5(x + -2) + -17 + x Reorder the terms: 7x + -4(3 + x) = 5(x + -2) + -17 + x 7x + (3 * -4 + x * -4) = 5(x + -2) + -17 + x 7x + (-12 + -4x) = 5(x + -2) + -17 + x Reorder the terms: -12 + 7x + -4x = 5(x + -2) + -17 + x Combine like terms: 7x + -4x = 3x -12 + 3x = 5(x + -2) + -17 + x Reorder the terms: -12 + 3x = 5(-2 + x) + -17 + x -12 + 3x = (-2 * 5 + x * 5) + -17 + x -12 + 3x = (-10 + 5x) + -17 + x Reorder the terms: -12 + 3x = -10 + -17 + 5x + x Combine like terms: -10 + -17 = -27 -12 + 3x = -27 + 5x + x Combine like terms: 5x + x = 6x -12 + 3x = -27 + 6x Solving -12 + 3x = -27 + 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. -12 + 3x + -6x = -27 + 6x + -6x Combine like terms: 3x + -6x = -3x -12 + -3x = -27 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -3x = -27 + 0 -12 + -3x = -27 Add '12' to each side of the equation. -12 + 12 + -3x = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -27 + 12 -3x = -27 + 12 Combine like terms: -27 + 12 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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