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Simplifying 4(7 + -2x) + 3(4x + 3) + -7(x + -3) = 48 (7 * 4 + -2x * 4) + 3(4x + 3) + -7(x + -3) = 48 (28 + -8x) + 3(4x + 3) + -7(x + -3) = 48 Reorder the terms: 28 + -8x + 3(3 + 4x) + -7(x + -3) = 48 28 + -8x + (3 * 3 + 4x * 3) + -7(x + -3) = 48 28 + -8x + (9 + 12x) + -7(x + -3) = 48 Reorder the terms: 28 + -8x + 9 + 12x + -7(-3 + x) = 48 28 + -8x + 9 + 12x + (-3 * -7 + x * -7) = 48 28 + -8x + 9 + 12x + (21 + -7x) = 48 Reorder the terms: 28 + 9 + 21 + -8x + 12x + -7x = 48 Combine like terms: 28 + 9 = 37 37 + 21 + -8x + 12x + -7x = 48 Combine like terms: 37 + 21 = 58 58 + -8x + 12x + -7x = 48 Combine like terms: -8x + 12x = 4x 58 + 4x + -7x = 48 Combine like terms: 4x + -7x = -3x 58 + -3x = 48 Solving 58 + -3x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -3x = 48 + -58 Combine like terms: 58 + -58 = 0 0 + -3x = 48 + -58 -3x = 48 + -58 Combine like terms: 48 + -58 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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