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Simplifying 5(3 + -2x) + 4x = 3(3x + -1) (3 * 5 + -2x * 5) + 4x = 3(3x + -1) (15 + -10x) + 4x = 3(3x + -1) Combine like terms: -10x + 4x = -6x 15 + -6x = 3(3x + -1) Reorder the terms: 15 + -6x = 3(-1 + 3x) 15 + -6x = (-1 * 3 + 3x * 3) 15 + -6x = (-3 + 9x) Solving 15 + -6x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + -6x + -9x = -3 + 9x + -9x Combine like terms: -6x + -9x = -15x 15 + -15x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -15x = -3 + 0 15 + -15x = -3 Add '-15' to each side of the equation. 15 + -15 + -15x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = -3 + -15 -15x = -3 + -15 Combine like terms: -3 + -15 = -18 -15x = -18 Divide each side by '-15'. x = 1.2 Simplifying x = 1.2
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