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Simplifying 4(3x + 7) + -6(4x + -5) = 10x + 3(4x + -6) Reorder the terms: 4(7 + 3x) + -6(4x + -5) = 10x + 3(4x + -6) (7 * 4 + 3x * 4) + -6(4x + -5) = 10x + 3(4x + -6) (28 + 12x) + -6(4x + -5) = 10x + 3(4x + -6) Reorder the terms: 28 + 12x + -6(-5 + 4x) = 10x + 3(4x + -6) 28 + 12x + (-5 * -6 + 4x * -6) = 10x + 3(4x + -6) 28 + 12x + (30 + -24x) = 10x + 3(4x + -6) Reorder the terms: 28 + 30 + 12x + -24x = 10x + 3(4x + -6) Combine like terms: 28 + 30 = 58 58 + 12x + -24x = 10x + 3(4x + -6) Combine like terms: 12x + -24x = -12x 58 + -12x = 10x + 3(4x + -6) Reorder the terms: 58 + -12x = 10x + 3(-6 + 4x) 58 + -12x = 10x + (-6 * 3 + 4x * 3) 58 + -12x = 10x + (-18 + 12x) Reorder the terms: 58 + -12x = -18 + 10x + 12x Combine like terms: 10x + 12x = 22x 58 + -12x = -18 + 22x Solving 58 + -12x = -18 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 58 + -12x + -22x = -18 + 22x + -22x Combine like terms: -12x + -22x = -34x 58 + -34x = -18 + 22x + -22x Combine like terms: 22x + -22x = 0 58 + -34x = -18 + 0 58 + -34x = -18 Add '-58' to each side of the equation. 58 + -58 + -34x = -18 + -58 Combine like terms: 58 + -58 = 0 0 + -34x = -18 + -58 -34x = -18 + -58 Combine like terms: -18 + -58 = -76 -34x = -76 Divide each side by '-34'. x = 2.235294118 Simplifying x = 2.235294118
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