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Simplifying 4x + -7(3x + -4) = 3(6x + -4) + -30 Reorder the terms: 4x + -7(-4 + 3x) = 3(6x + -4) + -30 4x + (-4 * -7 + 3x * -7) = 3(6x + -4) + -30 4x + (28 + -21x) = 3(6x + -4) + -30 Reorder the terms: 28 + 4x + -21x = 3(6x + -4) + -30 Combine like terms: 4x + -21x = -17x 28 + -17x = 3(6x + -4) + -30 Reorder the terms: 28 + -17x = 3(-4 + 6x) + -30 28 + -17x = (-4 * 3 + 6x * 3) + -30 28 + -17x = (-12 + 18x) + -30 Reorder the terms: 28 + -17x = -12 + -30 + 18x Combine like terms: -12 + -30 = -42 28 + -17x = -42 + 18x Solving 28 + -17x = -42 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 28 + -17x + -18x = -42 + 18x + -18x Combine like terms: -17x + -18x = -35x 28 + -35x = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 28 + -35x = -42 + 0 28 + -35x = -42 Add '-28' to each side of the equation. 28 + -28 + -35x = -42 + -28 Combine like terms: 28 + -28 = 0 0 + -35x = -42 + -28 -35x = -42 + -28 Combine like terms: -42 + -28 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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