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Simplifying 4 + -3(2x + -3) + 5x = 10 + 7(3x + 2) Reorder the terms: 4 + -3(-3 + 2x) + 5x = 10 + 7(3x + 2) 4 + (-3 * -3 + 2x * -3) + 5x = 10 + 7(3x + 2) 4 + (9 + -6x) + 5x = 10 + 7(3x + 2) Combine like terms: 4 + 9 = 13 13 + -6x + 5x = 10 + 7(3x + 2) Combine like terms: -6x + 5x = -1x 13 + -1x = 10 + 7(3x + 2) Reorder the terms: 13 + -1x = 10 + 7(2 + 3x) 13 + -1x = 10 + (2 * 7 + 3x * 7) 13 + -1x = 10 + (14 + 21x) Combine like terms: 10 + 14 = 24 13 + -1x = 24 + 21x Solving 13 + -1x = 24 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 13 + -1x + -21x = 24 + 21x + -21x Combine like terms: -1x + -21x = -22x 13 + -22x = 24 + 21x + -21x Combine like terms: 21x + -21x = 0 13 + -22x = 24 + 0 13 + -22x = 24 Add '-13' to each side of the equation. 13 + -13 + -22x = 24 + -13 Combine like terms: 13 + -13 = 0 0 + -22x = 24 + -13 -22x = 24 + -13 Combine like terms: 24 + -13 = 11 -22x = 11 Divide each side by '-22'. x = -0.5 Simplifying x = -0.5
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