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Simplifying 3(x + -7) + -3(x + 4) = 4 + -1(5x + -2) Reorder the terms: 3(-7 + x) + -3(x + 4) = 4 + -1(5x + -2) (-7 * 3 + x * 3) + -3(x + 4) = 4 + -1(5x + -2) (-21 + 3x) + -3(x + 4) = 4 + -1(5x + -2) Reorder the terms: -21 + 3x + -3(4 + x) = 4 + -1(5x + -2) -21 + 3x + (4 * -3 + x * -3) = 4 + -1(5x + -2) -21 + 3x + (-12 + -3x) = 4 + -1(5x + -2) Reorder the terms: -21 + -12 + 3x + -3x = 4 + -1(5x + -2) Combine like terms: -21 + -12 = -33 -33 + 3x + -3x = 4 + -1(5x + -2) Combine like terms: 3x + -3x = 0 -33 + 0 = 4 + -1(5x + -2) -33 = 4 + -1(5x + -2) Reorder the terms: -33 = 4 + -1(-2 + 5x) -33 = 4 + (-2 * -1 + 5x * -1) -33 = 4 + (2 + -5x) Combine like terms: 4 + 2 = 6 -33 = 6 + -5x Solving -33 = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -33 + 5x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -33 + 5x = 6 + 0 -33 + 5x = 6 Add '33' to each side of the equation. -33 + 33 + 5x = 6 + 33 Combine like terms: -33 + 33 = 0 0 + 5x = 6 + 33 5x = 6 + 33 Combine like terms: 6 + 33 = 39 5x = 39 Divide each side by '5'. x = 7.8 Simplifying x = 7.8
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