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Simplifying 5x + -3 = 2(x + -4) + -3 Reorder the terms: -3 + 5x = 2(x + -4) + -3 Reorder the terms: -3 + 5x = 2(-4 + x) + -3 -3 + 5x = (-4 * 2 + x * 2) + -3 -3 + 5x = (-8 + 2x) + -3 Reorder the terms: -3 + 5x = -8 + -3 + 2x Combine like terms: -8 + -3 = -11 -3 + 5x = -11 + 2x Solving -3 + 5x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 5x + -2x = -11 + 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = -11 + 0 -3 + 3x = -11 Add '3' to each side of the equation. -3 + 3 + 3x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -11 + 3 3x = -11 + 3 Combine like terms: -11 + 3 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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