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Simplifying 4(2x + -3) + -1x = 4(x + 12) + 15 Reorder the terms: 4(-3 + 2x) + -1x = 4(x + 12) + 15 (-3 * 4 + 2x * 4) + -1x = 4(x + 12) + 15 (-12 + 8x) + -1x = 4(x + 12) + 15 Combine like terms: 8x + -1x = 7x -12 + 7x = 4(x + 12) + 15 Reorder the terms: -12 + 7x = 4(12 + x) + 15 -12 + 7x = (12 * 4 + x * 4) + 15 -12 + 7x = (48 + 4x) + 15 Reorder the terms: -12 + 7x = 48 + 15 + 4x Combine like terms: 48 + 15 = 63 -12 + 7x = 63 + 4x Solving -12 + 7x = 63 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 7x + -4x = 63 + 4x + -4x Combine like terms: 7x + -4x = 3x -12 + 3x = 63 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 3x = 63 + 0 -12 + 3x = 63 Add '12' to each side of the equation. -12 + 12 + 3x = 63 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 63 + 12 3x = 63 + 12 Combine like terms: 63 + 12 = 75 3x = 75 Divide each side by '3'. x = 25 Simplifying x = 25
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