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Simplifying 6(4x + -9) + -3 = 6(x + -2) + 63 Reorder the terms: 6(-9 + 4x) + -3 = 6(x + -2) + 63 (-9 * 6 + 4x * 6) + -3 = 6(x + -2) + 63 (-54 + 24x) + -3 = 6(x + -2) + 63 Reorder the terms: -54 + -3 + 24x = 6(x + -2) + 63 Combine like terms: -54 + -3 = -57 -57 + 24x = 6(x + -2) + 63 Reorder the terms: -57 + 24x = 6(-2 + x) + 63 -57 + 24x = (-2 * 6 + x * 6) + 63 -57 + 24x = (-12 + 6x) + 63 Reorder the terms: -57 + 24x = -12 + 63 + 6x Combine like terms: -12 + 63 = 51 -57 + 24x = 51 + 6x Solving -57 + 24x = 51 + 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. -57 + 24x + -6x = 51 + 6x + -6x Combine like terms: 24x + -6x = 18x -57 + 18x = 51 + 6x + -6x Combine like terms: 6x + -6x = 0 -57 + 18x = 51 + 0 -57 + 18x = 51 Add '57' to each side of the equation. -57 + 57 + 18x = 51 + 57 Combine like terms: -57 + 57 = 0 0 + 18x = 51 + 57 18x = 51 + 57 Combine like terms: 51 + 57 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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