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Simplifying 5(x + -7) + -3 = 4(x + -3) + -1 Reorder the terms: 5(-7 + x) + -3 = 4(x + -3) + -1 (-7 * 5 + x * 5) + -3 = 4(x + -3) + -1 (-35 + 5x) + -3 = 4(x + -3) + -1 Reorder the terms: -35 + -3 + 5x = 4(x + -3) + -1 Combine like terms: -35 + -3 = -38 -38 + 5x = 4(x + -3) + -1 Reorder the terms: -38 + 5x = 4(-3 + x) + -1 -38 + 5x = (-3 * 4 + x * 4) + -1 -38 + 5x = (-12 + 4x) + -1 Reorder the terms: -38 + 5x = -12 + -1 + 4x Combine like terms: -12 + -1 = -13 -38 + 5x = -13 + 4x Solving -38 + 5x = -13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -38 + 5x + -4x = -13 + 4x + -4x Combine like terms: 5x + -4x = 1x -38 + 1x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -38 + 1x = -13 + 0 -38 + 1x = -13 Add '38' to each side of the equation. -38 + 38 + 1x = -13 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = -13 + 38 1x = -13 + 38 Combine like terms: -13 + 38 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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