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Simplifying 3(5x + -4) + 4(-5 + 4) = 6(5x + -5) + 6 Reorder the terms: 3(-4 + 5x) + 4(-5 + 4) = 6(5x + -5) + 6 (-4 * 3 + 5x * 3) + 4(-5 + 4) = 6(5x + -5) + 6 (-12 + 15x) + 4(-5 + 4) = 6(5x + -5) + 6 Combine like terms: -5 + 4 = -1 -12 + 15x + 4(-1) = 6(5x + -5) + 6 Multiply 4 * -1 -12 + 15x + -4 = 6(5x + -5) + 6 Reorder the terms: -12 + -4 + 15x = 6(5x + -5) + 6 Combine like terms: -12 + -4 = -16 -16 + 15x = 6(5x + -5) + 6 Reorder the terms: -16 + 15x = 6(-5 + 5x) + 6 -16 + 15x = (-5 * 6 + 5x * 6) + 6 -16 + 15x = (-30 + 30x) + 6 Reorder the terms: -16 + 15x = -30 + 6 + 30x Combine like terms: -30 + 6 = -24 -16 + 15x = -24 + 30x Solving -16 + 15x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -16 + 15x + -30x = -24 + 30x + -30x Combine like terms: 15x + -30x = -15x -16 + -15x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 -16 + -15x = -24 + 0 -16 + -15x = -24 Add '16' to each side of the equation. -16 + 16 + -15x = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -15x = -24 + 16 -15x = -24 + 16 Combine like terms: -24 + 16 = -8 -15x = -8 Divide each side by '-15'. x = 0.5333333333 Simplifying x = 0.5333333333
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