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Simplifying 5x + -4(x + 7) = 4 + -3x + 5(x + -3) Reorder the terms: 5x + -4(7 + x) = 4 + -3x + 5(x + -3) 5x + (7 * -4 + x * -4) = 4 + -3x + 5(x + -3) 5x + (-28 + -4x) = 4 + -3x + 5(x + -3) Reorder the terms: -28 + 5x + -4x = 4 + -3x + 5(x + -3) Combine like terms: 5x + -4x = 1x -28 + 1x = 4 + -3x + 5(x + -3) Reorder the terms: -28 + 1x = 4 + -3x + 5(-3 + x) -28 + 1x = 4 + -3x + (-3 * 5 + x * 5) -28 + 1x = 4 + -3x + (-15 + 5x) Reorder the terms: -28 + 1x = 4 + -15 + -3x + 5x Combine like terms: 4 + -15 = -11 -28 + 1x = -11 + -3x + 5x Combine like terms: -3x + 5x = 2x -28 + 1x = -11 + 2x Solving -28 + 1x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + 1x + -2x = -11 + 2x + -2x Combine like terms: 1x + -2x = -1x -28 + -1x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + -1x = -11 + 0 -28 + -1x = -11 Add '28' to each side of the equation. -28 + 28 + -1x = -11 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -11 + 28 -1x = -11 + 28 Combine like terms: -11 + 28 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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