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Simplifying 5 + -3(2x + 3) + 7x = 4x + 13 Reorder the terms: 5 + -3(3 + 2x) + 7x = 4x + 13 5 + (3 * -3 + 2x * -3) + 7x = 4x + 13 5 + (-9 + -6x) + 7x = 4x + 13 Combine like terms: 5 + -9 = -4 -4 + -6x + 7x = 4x + 13 Combine like terms: -6x + 7x = 1x -4 + 1x = 4x + 13 Reorder the terms: -4 + 1x = 13 + 4x Solving -4 + 1x = 13 + 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. -4 + 1x + -4x = 13 + 4x + -4x Combine like terms: 1x + -4x = -3x -4 + -3x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -3x = 13 + 0 -4 + -3x = 13 Add '4' to each side of the equation. -4 + 4 + -3x = 13 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 13 + 4 -3x = 13 + 4 Combine like terms: 13 + 4 = 17 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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