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Simplifying 5x + -4(x + -2) = -3 + 3x + 9 Reorder the terms: 5x + -4(-2 + x) = -3 + 3x + 9 5x + (-2 * -4 + x * -4) = -3 + 3x + 9 5x + (8 + -4x) = -3 + 3x + 9 Reorder the terms: 8 + 5x + -4x = -3 + 3x + 9 Combine like terms: 5x + -4x = 1x 8 + 1x = -3 + 3x + 9 Reorder the terms: 8 + 1x = -3 + 9 + 3x Combine like terms: -3 + 9 = 6 8 + 1x = 6 + 3x Solving 8 + 1x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 1x + -3x = 6 + 3x + -3x Combine like terms: 1x + -3x = -2x 8 + -2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -2x = 6 + 0 8 + -2x = 6 Add '-8' to each side of the equation. 8 + -8 + -2x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 6 + -8 -2x = 6 + -8 Combine like terms: 6 + -8 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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