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Simplifying 5(x + -3) = 2x + 4(x + -7) Reorder the terms: 5(-3 + x) = 2x + 4(x + -7) (-3 * 5 + x * 5) = 2x + 4(x + -7) (-15 + 5x) = 2x + 4(x + -7) Reorder the terms: -15 + 5x = 2x + 4(-7 + x) -15 + 5x = 2x + (-7 * 4 + x * 4) -15 + 5x = 2x + (-28 + 4x) Reorder the terms: -15 + 5x = -28 + 2x + 4x Combine like terms: 2x + 4x = 6x -15 + 5x = -28 + 6x Solving -15 + 5x = -28 + 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. -15 + 5x + -6x = -28 + 6x + -6x Combine like terms: 5x + -6x = -1x -15 + -1x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -1x = -28 + 0 -15 + -1x = -28 Add '15' to each side of the equation. -15 + 15 + -1x = -28 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -28 + 15 -1x = -28 + 15 Combine like terms: -28 + 15 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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