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Simplifying 4(x + -3) + -2(x + -5) + 1 = 5(3x + 4) + -6x Reorder the terms: 4(-3 + x) + -2(x + -5) + 1 = 5(3x + 4) + -6x (-3 * 4 + x * 4) + -2(x + -5) + 1 = 5(3x + 4) + -6x (-12 + 4x) + -2(x + -5) + 1 = 5(3x + 4) + -6x Reorder the terms: -12 + 4x + -2(-5 + x) + 1 = 5(3x + 4) + -6x -12 + 4x + (-5 * -2 + x * -2) + 1 = 5(3x + 4) + -6x -12 + 4x + (10 + -2x) + 1 = 5(3x + 4) + -6x Reorder the terms: -12 + 10 + 1 + 4x + -2x = 5(3x + 4) + -6x Combine like terms: -12 + 10 = -2 -2 + 1 + 4x + -2x = 5(3x + 4) + -6x Combine like terms: -2 + 1 = -1 -1 + 4x + -2x = 5(3x + 4) + -6x Combine like terms: 4x + -2x = 2x -1 + 2x = 5(3x + 4) + -6x Reorder the terms: -1 + 2x = 5(4 + 3x) + -6x -1 + 2x = (4 * 5 + 3x * 5) + -6x -1 + 2x = (20 + 15x) + -6x Combine like terms: 15x + -6x = 9x -1 + 2x = 20 + 9x Solving -1 + 2x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 2x + -9x = 20 + 9x + -9x Combine like terms: 2x + -9x = -7x -1 + -7x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -7x = 20 + 0 -1 + -7x = 20 Add '1' to each side of the equation. -1 + 1 + -7x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 20 + 1 -7x = 20 + 1 Combine like terms: 20 + 1 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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