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Simplifying 6(x + 3) + 10 = 4(3x + -4) Reorder the terms: 6(3 + x) + 10 = 4(3x + -4) (3 * 6 + x * 6) + 10 = 4(3x + -4) (18 + 6x) + 10 = 4(3x + -4) Reorder the terms: 18 + 10 + 6x = 4(3x + -4) Combine like terms: 18 + 10 = 28 28 + 6x = 4(3x + -4) Reorder the terms: 28 + 6x = 4(-4 + 3x) 28 + 6x = (-4 * 4 + 3x * 4) 28 + 6x = (-16 + 12x) Solving 28 + 6x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 28 + 6x + -12x = -16 + 12x + -12x Combine like terms: 6x + -12x = -6x 28 + -6x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + -6x = -16 + 0 28 + -6x = -16 Add '-28' to each side of the equation. 28 + -28 + -6x = -16 + -28 Combine like terms: 28 + -28 = 0 0 + -6x = -16 + -28 -6x = -16 + -28 Combine like terms: -16 + -28 = -44 -6x = -44 Divide each side by '-6'. x = 7.333333333 Simplifying x = 7.333333333
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