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Simplifying 4(2x + -3) + -6 = 5x + -3 Reorder the terms: 4(-3 + 2x) + -6 = 5x + -3 (-3 * 4 + 2x * 4) + -6 = 5x + -3 (-12 + 8x) + -6 = 5x + -3 Reorder the terms: -12 + -6 + 8x = 5x + -3 Combine like terms: -12 + -6 = -18 -18 + 8x = 5x + -3 Reorder the terms: -18 + 8x = -3 + 5x Solving -18 + 8x = -3 + 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. -18 + 8x + -5x = -3 + 5x + -5x Combine like terms: 8x + -5x = 3x -18 + 3x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 3x = -3 + 0 -18 + 3x = -3 Add '18' to each side of the equation. -18 + 18 + 3x = -3 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -3 + 18 3x = -3 + 18 Combine like terms: -3 + 18 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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