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Simplifying 5(x + -3) + 8 = -3 + -2(x + -4) + 4x Reorder the terms: 5(-3 + x) + 8 = -3 + -2(x + -4) + 4x (-3 * 5 + x * 5) + 8 = -3 + -2(x + -4) + 4x (-15 + 5x) + 8 = -3 + -2(x + -4) + 4x Reorder the terms: -15 + 8 + 5x = -3 + -2(x + -4) + 4x Combine like terms: -15 + 8 = -7 -7 + 5x = -3 + -2(x + -4) + 4x Reorder the terms: -7 + 5x = -3 + -2(-4 + x) + 4x -7 + 5x = -3 + (-4 * -2 + x * -2) + 4x -7 + 5x = -3 + (8 + -2x) + 4x Combine like terms: -3 + 8 = 5 -7 + 5x = 5 + -2x + 4x Combine like terms: -2x + 4x = 2x -7 + 5x = 5 + 2x Solving -7 + 5x = 5 + 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. -7 + 5x + -2x = 5 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 5 + 0 -7 + 3x = 5 Add '7' to each side of the equation. -7 + 7 + 3x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 5 + 7 3x = 5 + 7 Combine like terms: 5 + 7 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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