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Simplifying 4x + 3 = 2(5x + -2) Reorder the terms: 3 + 4x = 2(5x + -2) Reorder the terms: 3 + 4x = 2(-2 + 5x) 3 + 4x = (-2 * 2 + 5x * 2) 3 + 4x = (-4 + 10x) Solving 3 + 4x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 4x + -10x = -4 + 10x + -10x Combine like terms: 4x + -10x = -6x 3 + -6x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -6x = -4 + 0 3 + -6x = -4 Add '-3' to each side of the equation. 3 + -3 + -6x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -4 + -3 -6x = -4 + -3 Combine like terms: -4 + -3 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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