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Simplifying 4(x + -2) + 3 = -3(5x + -8) Reorder the terms: 4(-2 + x) + 3 = -3(5x + -8) (-2 * 4 + x * 4) + 3 = -3(5x + -8) (-8 + 4x) + 3 = -3(5x + -8) Reorder the terms: -8 + 3 + 4x = -3(5x + -8) Combine like terms: -8 + 3 = -5 -5 + 4x = -3(5x + -8) Reorder the terms: -5 + 4x = -3(-8 + 5x) -5 + 4x = (-8 * -3 + 5x * -3) -5 + 4x = (24 + -15x) Solving -5 + 4x = 24 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -5 + 4x + 15x = 24 + -15x + 15x Combine like terms: 4x + 15x = 19x -5 + 19x = 24 + -15x + 15x Combine like terms: -15x + 15x = 0 -5 + 19x = 24 + 0 -5 + 19x = 24 Add '5' to each side of the equation. -5 + 5 + 19x = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 19x = 24 + 5 19x = 24 + 5 Combine like terms: 24 + 5 = 29 19x = 29 Divide each side by '19'. x = 1.526315789 Simplifying x = 1.526315789
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