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Simplifying 7(4x + -3) = 6(x + -5) + -15 Reorder the terms: 7(-3 + 4x) = 6(x + -5) + -15 (-3 * 7 + 4x * 7) = 6(x + -5) + -15 (-21 + 28x) = 6(x + -5) + -15 Reorder the terms: -21 + 28x = 6(-5 + x) + -15 -21 + 28x = (-5 * 6 + x * 6) + -15 -21 + 28x = (-30 + 6x) + -15 Reorder the terms: -21 + 28x = -30 + -15 + 6x Combine like terms: -30 + -15 = -45 -21 + 28x = -45 + 6x Solving -21 + 28x = -45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 28x + -6x = -45 + 6x + -6x Combine like terms: 28x + -6x = 22x -21 + 22x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 22x = -45 + 0 -21 + 22x = -45 Add '21' to each side of the equation. -21 + 21 + 22x = -45 + 21 Combine like terms: -21 + 21 = 0 0 + 22x = -45 + 21 22x = -45 + 21 Combine like terms: -45 + 21 = -24 22x = -24 Divide each side by '22'. x = -1.090909091 Simplifying x = -1.090909091
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