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Simplifying 6(4x + -7) = 6(x + -2) + 53 Reorder the terms: 6(-7 + 4x) = 6(x + -2) + 53 (-7 * 6 + 4x * 6) = 6(x + -2) + 53 (-42 + 24x) = 6(x + -2) + 53 Reorder the terms: -42 + 24x = 6(-2 + x) + 53 -42 + 24x = (-2 * 6 + x * 6) + 53 -42 + 24x = (-12 + 6x) + 53 Reorder the terms: -42 + 24x = -12 + 53 + 6x Combine like terms: -12 + 53 = 41 -42 + 24x = 41 + 6x Solving -42 + 24x = 41 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + 24x + -6x = 41 + 6x + -6x Combine like terms: 24x + -6x = 18x -42 + 18x = 41 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 18x = 41 + 0 -42 + 18x = 41 Add '42' to each side of the equation. -42 + 42 + 18x = 41 + 42 Combine like terms: -42 + 42 = 0 0 + 18x = 41 + 42 18x = 41 + 42 Combine like terms: 41 + 42 = 83 18x = 83 Divide each side by '18'. x = 4.611111111 Simplifying x = 4.611111111
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