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Simplifying 5(3 + -2x) + 4x = 3(3x + -8) + 7x (3 * 5 + -2x * 5) + 4x = 3(3x + -8) + 7x (15 + -10x) + 4x = 3(3x + -8) + 7x Combine like terms: -10x + 4x = -6x 15 + -6x = 3(3x + -8) + 7x Reorder the terms: 15 + -6x = 3(-8 + 3x) + 7x 15 + -6x = (-8 * 3 + 3x * 3) + 7x 15 + -6x = (-24 + 9x) + 7x Combine like terms: 9x + 7x = 16x 15 + -6x = -24 + 16x Solving 15 + -6x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + -6x + -16x = -24 + 16x + -16x Combine like terms: -6x + -16x = -22x 15 + -22x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + -22x = -24 + 0 15 + -22x = -24 Add '-15' to each side of the equation. 15 + -15 + -22x = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -22x = -24 + -15 -22x = -24 + -15 Combine like terms: -24 + -15 = -39 -22x = -39 Divide each side by '-22'. x = 1.772727273 Simplifying x = 1.772727273
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