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Simplifying 4x + -18 = 2x + -5(3x + -8) + -7 Reorder the terms: -18 + 4x = 2x + -5(3x + -8) + -7 Reorder the terms: -18 + 4x = 2x + -5(-8 + 3x) + -7 -18 + 4x = 2x + (-8 * -5 + 3x * -5) + -7 -18 + 4x = 2x + (40 + -15x) + -7 Reorder the terms: -18 + 4x = 40 + -7 + 2x + -15x Combine like terms: 40 + -7 = 33 -18 + 4x = 33 + 2x + -15x Combine like terms: 2x + -15x = -13x -18 + 4x = 33 + -13x Solving -18 + 4x = 33 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -18 + 4x + 13x = 33 + -13x + 13x Combine like terms: 4x + 13x = 17x -18 + 17x = 33 + -13x + 13x Combine like terms: -13x + 13x = 0 -18 + 17x = 33 + 0 -18 + 17x = 33 Add '18' to each side of the equation. -18 + 18 + 17x = 33 + 18 Combine like terms: -18 + 18 = 0 0 + 17x = 33 + 18 17x = 33 + 18 Combine like terms: 33 + 18 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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