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Simplifying 3(3x + -14) + 18(x + -4) + 2 = 4(4x + -13) + -4x Reorder the terms: 3(-14 + 3x) + 18(x + -4) + 2 = 4(4x + -13) + -4x (-14 * 3 + 3x * 3) + 18(x + -4) + 2 = 4(4x + -13) + -4x (-42 + 9x) + 18(x + -4) + 2 = 4(4x + -13) + -4x Reorder the terms: -42 + 9x + 18(-4 + x) + 2 = 4(4x + -13) + -4x -42 + 9x + (-4 * 18 + x * 18) + 2 = 4(4x + -13) + -4x -42 + 9x + (-72 + 18x) + 2 = 4(4x + -13) + -4x Reorder the terms: -42 + -72 + 2 + 9x + 18x = 4(4x + -13) + -4x Combine like terms: -42 + -72 = -114 -114 + 2 + 9x + 18x = 4(4x + -13) + -4x Combine like terms: -114 + 2 = -112 -112 + 9x + 18x = 4(4x + -13) + -4x Combine like terms: 9x + 18x = 27x -112 + 27x = 4(4x + -13) + -4x Reorder the terms: -112 + 27x = 4(-13 + 4x) + -4x -112 + 27x = (-13 * 4 + 4x * 4) + -4x -112 + 27x = (-52 + 16x) + -4x Combine like terms: 16x + -4x = 12x -112 + 27x = -52 + 12x Solving -112 + 27x = -52 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -112 + 27x + -12x = -52 + 12x + -12x Combine like terms: 27x + -12x = 15x -112 + 15x = -52 + 12x + -12x Combine like terms: 12x + -12x = 0 -112 + 15x = -52 + 0 -112 + 15x = -52 Add '112' to each side of the equation. -112 + 112 + 15x = -52 + 112 Combine like terms: -112 + 112 = 0 0 + 15x = -52 + 112 15x = -52 + 112 Combine like terms: -52 + 112 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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