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Simplifying 4(2x + -3) + 10 = 2(3x + 2) + -8 Reorder the terms: 4(-3 + 2x) + 10 = 2(3x + 2) + -8 (-3 * 4 + 2x * 4) + 10 = 2(3x + 2) + -8 (-12 + 8x) + 10 = 2(3x + 2) + -8 Reorder the terms: -12 + 10 + 8x = 2(3x + 2) + -8 Combine like terms: -12 + 10 = -2 -2 + 8x = 2(3x + 2) + -8 Reorder the terms: -2 + 8x = 2(2 + 3x) + -8 -2 + 8x = (2 * 2 + 3x * 2) + -8 -2 + 8x = (4 + 6x) + -8 Reorder the terms: -2 + 8x = 4 + -8 + 6x Combine like terms: 4 + -8 = -4 -2 + 8x = -4 + 6x Solving -2 + 8x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 8x + -6x = -4 + 6x + -6x Combine like terms: 8x + -6x = 2x -2 + 2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 2x = -4 + 0 -2 + 2x = -4 Add '2' to each side of the equation. -2 + 2 + 2x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -4 + 2 2x = -4 + 2 Combine like terms: -4 + 2 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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