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Simplifying 6(3x + -7) + 4 = 5x + 2(-1x + -5) Reorder the terms: 6(-7 + 3x) + 4 = 5x + 2(-1x + -5) (-7 * 6 + 3x * 6) + 4 = 5x + 2(-1x + -5) (-42 + 18x) + 4 = 5x + 2(-1x + -5) Reorder the terms: -42 + 4 + 18x = 5x + 2(-1x + -5) Combine like terms: -42 + 4 = -38 -38 + 18x = 5x + 2(-1x + -5) Reorder the terms: -38 + 18x = 5x + 2(-5 + -1x) -38 + 18x = 5x + (-5 * 2 + -1x * 2) -38 + 18x = 5x + (-10 + -2x) Reorder the terms: -38 + 18x = -10 + 5x + -2x Combine like terms: 5x + -2x = 3x -38 + 18x = -10 + 3x Solving -38 + 18x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -38 + 18x + -3x = -10 + 3x + -3x Combine like terms: 18x + -3x = 15x -38 + 15x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 15x = -10 + 0 -38 + 15x = -10 Add '38' to each side of the equation. -38 + 38 + 15x = -10 + 38 Combine like terms: -38 + 38 = 0 0 + 15x = -10 + 38 15x = -10 + 38 Combine like terms: -10 + 38 = 28 15x = 28 Divide each side by '15'. x = 1.866666667 Simplifying x = 1.866666667
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