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